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Finding the Fourth Proportional to 10,287.43, 15,428.10 and 4,364.24

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Solution

The fourth proportional to 10,287.43, 15,428.10 and 4,364.24 is: 6,545.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.43 : 15,428.10 = 4,364.24 : x
  2. Step 2: Convert to fraction form
    10,287.43/15,428.10 = 4,364.24/x
  3. Step 3: Cross multiply
    10,287.43x = 15,428.10 × 4,364.24
  4. Step 4: Simplify right side
    10,287.43x = 67,331,876.94
  5. Step 5: Solve for x
    x = 67,331,876.94/10,287.43
  6. Step 6: Final answer
    x = 6,545.06

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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.