Given Information:
The average age of 39, 48, 5163, 75, 83, x, and 69, 60 is to be determined.

Calculating the Average:
To find the average, we need to add up all the ages and divide the sum by the total number of ages.

39 + 48 + 5163 + 75 + 83 + x + 69 + 60 = Total Sum

Now, since we know the average is the sum divided by the total number of ages, we can set up the equation:

(Total Sum) / (Total Number of Ages) = Average

Simplifying the Equation:

(Total Sum) / (Total Number of Ages) = Average

(39 + 48 + 5163 + 75 + 83 + x + 69 + 60) / 8 = Average

5168 + x / 8 = Average

Substituting the Average:
We are given that the average age is 39, 48, 5163, 75, 83, x, 69, 60. Let's substitute this value into the equation:

5168 + x / 8 = 39, 48, 5163, 75, 83, x, 69, 60

Now we can solve for x.

5168 + x = 312, 384, 41256, 600, 664, 8x, 552, 480

Simplifying the equation further:

x = 312, 384, 41256, 600, 664, 8x, 552, 480 - 5168

x = -4856, -4784, 36088, -4568, -4504, -8x, -4616, -4688

Determining the Value of x:
Since the average age is typically a positive value, we can eliminate the negative values for x.

Therefore, the value of x is likely to be 36088.

Conclusion:
The value of x is most likely 36088, based on the given information and the calculation of the average age.