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Finding the Fourth Proportional to 7,256.57, 10,034.17 and 5,761.85

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Solution

The fourth proportional to 7,256.57, 10,034.17 and 5,761.85 is: 7,967.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,256.57 : 10,034.17 = 5,761.85 : x
  2. Step 2: Convert to fraction form
    7,256.57/10,034.17 = 5,761.85/x
  3. Step 3: Cross multiply
    7,256.57x = 10,034.17 × 5,761.85
  4. Step 4: Simplify right side
    7,256.57x = 57,815,353.61
  5. Step 5: Solve for x
    x = 57,815,353.61/7,256.57
  6. Step 6: Final answer
    x = 7,967.31

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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.