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Finding the Fourth Proportional to 11,410.40, 15,757.17 and 10,789.15

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Solution

The fourth proportional to 11,410.40, 15,757.17 and 10,789.15 is: 14,899.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.40 : 15,757.17 = 10,789.15 : x
  2. Step 2: Convert to fraction form
    11,410.40/15,757.17 = 10,789.15/x
  3. Step 3: Cross multiply
    11,410.40x = 15,757.17 × 10,789.15
  4. Step 4: Simplify right side
    11,410.40x = 170,006,470.71
  5. Step 5: Solve for x
    x = 170,006,470.71/11,410.40
  6. Step 6: Final answer
    x = 14,899.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.