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Finding the Fourth Proportional to 7,105.38, 10,658.52 and 3,397.38

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Solution

The fourth proportional to 7,105.38, 10,658.52 and 3,397.38 is: 5,096.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.38 : 10,658.52 = 3,397.38 : x
  2. Step 2: Convert to fraction form
    7,105.38/10,658.52 = 3,397.38/x
  3. Step 3: Cross multiply
    7,105.38x = 10,658.52 × 3,397.38
  4. Step 4: Simplify right side
    7,105.38x = 36,211,042.68
  5. Step 5: Solve for x
    x = 36,211,042.68/7,105.38
  6. Step 6: Final answer
    x = 5,096.29

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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.