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Finding the Fourth Proportional to 10,839.38, 16,256.62 and 6,458.08

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Solution

The fourth proportional to 10,839.38, 16,256.62 and 6,458.08 is: 9,685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,839.38 : 16,256.62 = 6,458.08 : x
  2. Step 2: Convert to fraction form
    10,839.38/16,256.62 = 6,458.08/x
  3. Step 3: Cross multiply
    10,839.38x = 16,256.62 × 6,458.08
  4. Step 4: Simplify right side
    10,839.38x = 104,986,552.49
  5. Step 5: Solve for x
    x = 104,986,552.49/10,839.38
  6. Step 6: Final answer
    x = 9,685.66

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