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Finding the Fourth Proportional to 10,287.86, 15,414.51 and 6,401.78

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Solution

The fourth proportional to 10,287.86, 15,414.51 and 6,401.78 is: 9,591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.86 : 15,414.51 = 6,401.78 : x
  2. Step 2: Convert to fraction form
    10,287.86/15,414.51 = 6,401.78/x
  3. Step 3: Cross multiply
    10,287.86x = 15,414.51 × 6,401.78
  4. Step 4: Simplify right side
    10,287.86x = 98,680,301.83
  5. Step 5: Solve for x
    x = 98,680,301.83/10,287.86
  6. Step 6: Final answer
    x = 9,591.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.