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Finding the Fourth Proportional to 7,711.05, 10,641.26 and 4,174.26

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Solution

The fourth proportional to 7,711.05, 10,641.26 and 4,174.26 is: 5,760.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.05 : 10,641.26 = 4,174.26 : x
  2. Step 2: Convert to fraction form
    7,711.05/10,641.26 = 4,174.26/x
  3. Step 3: Cross multiply
    7,711.05x = 10,641.26 × 4,174.26
  4. Step 4: Simplify right side
    7,711.05x = 44,419,385.97
  5. Step 5: Solve for x
    x = 44,419,385.97/7,711.05
  6. Step 6: Final answer
    x = 5,760.48

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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.