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Finding the Fourth Proportional to 10,584.54, 15,892.20 and 7,785.18

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Solution

The fourth proportional to 10,584.54, 15,892.20 and 7,785.18 is: 11,689.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.54 : 15,892.20 = 7,785.18 : x
  2. Step 2: Convert to fraction form
    10,584.54/15,892.20 = 7,785.18/x
  3. Step 3: Cross multiply
    10,584.54x = 15,892.20 × 7,785.18
  4. Step 4: Simplify right side
    10,584.54x = 123,723,637.60
  5. Step 5: Solve for x
    x = 123,723,637.60/10,584.54
  6. Step 6: Final answer
    x = 11,689.09

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