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Finding the Fourth Proportional to 10,935.60, 16,390.97 and 9,616.78

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Solution

The fourth proportional to 10,935.60, 16,390.97 and 9,616.78 is: 14,414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,935.60 : 16,390.97 = 9,616.78 : x
  2. Step 2: Convert to fraction form
    10,935.60/16,390.97 = 9,616.78/x
  3. Step 3: Cross multiply
    10,935.60x = 16,390.97 × 9,616.78
  4. Step 4: Simplify right side
    10,935.60x = 157,628,352.48
  5. Step 5: Solve for x
    x = 157,628,352.48/10,935.60
  6. Step 6: Final answer
    x = 14,414.24

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