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Finding the Fourth Proportional to 7,545.38, 10,412.12 and 4,562.85

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Solution

The fourth proportional to 7,545.38, 10,412.12 and 4,562.85 is: 6,296.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,545.38 : 10,412.12 = 4,562.85 : x
  2. Step 2: Convert to fraction form
    7,545.38/10,412.12 = 4,562.85/x
  3. Step 3: Cross multiply
    7,545.38x = 10,412.12 × 4,562.85
  4. Step 4: Simplify right side
    7,545.38x = 47,508,957.97
  5. Step 5: Solve for x
    x = 47,508,957.97/7,545.38
  6. Step 6: Final answer
    x = 6,296.43

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Why These Related Problems?

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