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Finding the Fourth Proportional to 7,608.70, 11,414.12 and 3,449.76

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Solution

The fourth proportional to 7,608.70, 11,414.12 and 3,449.76 is: 5,175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.70 : 11,414.12 = 3,449.76 : x
  2. Step 2: Convert to fraction form
    7,608.70/11,414.12 = 3,449.76/x
  3. Step 3: Cross multiply
    7,608.70x = 11,414.12 × 3,449.76
  4. Step 4: Simplify right side
    7,608.70x = 39,375,974.61
  5. Step 5: Solve for x
    x = 39,375,974.61/7,608.70
  6. Step 6: Final answer
    x = 5,175.13

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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.