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Finding the Fourth Proportional to 10,940.78, 16,411.68 and 3,545.82

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Solution

The fourth proportional to 10,940.78, 16,411.68 and 3,545.82 is: 5,318.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.78 : 16,411.68 = 3,545.82 : x
  2. Step 2: Convert to fraction form
    10,940.78/16,411.68 = 3,545.82/x
  3. Step 3: Cross multiply
    10,940.78x = 16,411.68 × 3,545.82
  4. Step 4: Simplify right side
    10,940.78x = 58,192,863.18
  5. Step 5: Solve for x
    x = 58,192,863.18/10,940.78
  6. Step 6: Final answer
    x = 5,318.90

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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.