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Finding the Fourth Proportional to 7,542.43, 10,371.64 and 6,545.98

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Solution

The fourth proportional to 7,542.43, 10,371.64 and 6,545.98 is: 9,001.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.43 : 10,371.64 = 6,545.98 : x
  2. Step 2: Convert to fraction form
    7,542.43/10,371.64 = 6,545.98/x
  3. Step 3: Cross multiply
    7,542.43x = 10,371.64 × 6,545.98
  4. Step 4: Simplify right side
    7,542.43x = 67,892,496.15
  5. Step 5: Solve for x
    x = 67,892,496.15/7,542.43
  6. Step 6: Final answer
    x = 9,001.41

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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.