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Finding the Fourth Proportional to 7,711.10, 10,641.31 and 4,174.31

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Solution

The fourth proportional to 7,711.10, 10,641.31 and 4,174.31 is: 5,760.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.10 : 10,641.31 = 4,174.31 : x
  2. Step 2: Convert to fraction form
    7,711.10/10,641.31 = 4,174.31/x
  3. Step 3: Cross multiply
    7,711.10x = 10,641.31 × 4,174.31
  4. Step 4: Simplify right side
    7,711.10x = 44,420,123.67
  5. Step 5: Solve for x
    x = 44,420,123.67/7,711.10
  6. Step 6: Final answer
    x = 5,760.55

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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.