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Finding the Fourth Proportional to 7,410.52, 10,220.82 and 5,171.68

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Solution

The fourth proportional to 7,410.52, 10,220.82 and 5,171.68 is: 7,132.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,410.52 : 10,220.82 = 5,171.68 : x
  2. Step 2: Convert to fraction form
    7,410.52/10,220.82 = 5,171.68/x
  3. Step 3: Cross multiply
    7,410.52x = 10,220.82 × 5,171.68
  4. Step 4: Simplify right side
    7,410.52x = 52,858,810.38
  5. Step 5: Solve for x
    x = 52,858,810.38/7,410.52
  6. Step 6: Final answer
    x = 7,132.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.