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Finding the Fourth Proportional to 7,227.27, 10,841.10 and 2,297.20

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Solution

The fourth proportional to 7,227.27, 10,841.10 and 2,297.20 is: 3,445.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.27 : 10,841.10 = 2,297.20 : x
  2. Step 2: Convert to fraction form
    7,227.27/10,841.10 = 2,297.20/x
  3. Step 3: Cross multiply
    7,227.27x = 10,841.10 × 2,297.20
  4. Step 4: Simplify right side
    7,227.27x = 24,904,174.92
  5. Step 5: Solve for x
    x = 24,904,174.92/7,227.27
  6. Step 6: Final answer
    x = 3,445.86

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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.