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Finding the Fourth Proportional to 7,174.52, 10,761.70 and 5,057.43

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Solution

The fourth proportional to 7,174.52, 10,761.70 and 5,057.43 is: 7,586.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.52 : 10,761.70 = 5,057.43 : x
  2. Step 2: Convert to fraction form
    7,174.52/10,761.70 = 5,057.43/x
  3. Step 3: Cross multiply
    7,174.52x = 10,761.70 × 5,057.43
  4. Step 4: Simplify right side
    7,174.52x = 54,426,544.43
  5. Step 5: Solve for x
    x = 54,426,544.43/7,174.52
  6. Step 6: Final answer
    x = 7,586.09

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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.