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Finding the Fourth Proportional to 7,149.76, 10,721.85 and 2,404.96

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Solution

The fourth proportional to 7,149.76, 10,721.85 and 2,404.96 is: 3,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.76 : 10,721.85 = 2,404.96 : x
  2. Step 2: Convert to fraction form
    7,149.76/10,721.85 = 2,404.96/x
  3. Step 3: Cross multiply
    7,149.76x = 10,721.85 × 2,404.96
  4. Step 4: Simplify right side
    7,149.76x = 25,785,620.38
  5. Step 5: Solve for x
    x = 25,785,620.38/7,149.76
  6. Step 6: Final answer
    x = 3,606.50

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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.