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Finding the Fourth Proportional to 6,761.38, 10,142.07 and 2,545.42

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Solution

The fourth proportional to 6,761.38, 10,142.07 and 2,545.42 is: 3,818.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.38 : 10,142.07 = 2,545.42 : x
  2. Step 2: Convert to fraction form
    6,761.38/10,142.07 = 2,545.42/x
  3. Step 3: Cross multiply
    6,761.38x = 10,142.07 × 2,545.42
  4. Step 4: Simplify right side
    6,761.38x = 25,815,827.82
  5. Step 5: Solve for x
    x = 25,815,827.82/6,761.38
  6. Step 6: Final answer
    x = 3,818.13

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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.