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Finding the Fourth Proportional to 7,151.38, 10,724.37 and 3,452.38

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Solution

The fourth proportional to 7,151.38, 10,724.37 and 3,452.38 is: 5,177.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.38 : 10,724.37 = 3,452.38 : x
  2. Step 2: Convert to fraction form
    7,151.38/10,724.37 = 3,452.38/x
  3. Step 3: Cross multiply
    7,151.38x = 10,724.37 × 3,452.38
  4. Step 4: Simplify right side
    7,151.38x = 37,024,600.50
  5. Step 5: Solve for x
    x = 37,024,600.50/7,151.38
  6. Step 6: Final answer
    x = 5,177.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.