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Finding the Fourth Proportional to 7,257.71, 10,013.05 and 4,113.90

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Solution

The fourth proportional to 7,257.71, 10,013.05 and 4,113.90 is: 5,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.71 : 10,013.05 = 4,113.90 : x
  2. Step 2: Convert to fraction form
    7,257.71/10,013.05 = 4,113.90/x
  3. Step 3: Cross multiply
    7,257.71x = 10,013.05 × 4,113.90
  4. Step 4: Simplify right side
    7,257.71x = 41,192,691.54
  5. Step 5: Solve for x
    x = 41,192,691.54/7,257.71
  6. Step 6: Final answer
    x = 5,675.71

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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.