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Finding the Fourth Proportional to 7,114.62, 10,672.17 and 2,183.82

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Solution

The fourth proportional to 7,114.62, 10,672.17 and 2,183.82 is: 3,275.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.62 : 10,672.17 = 2,183.82 : x
  2. Step 2: Convert to fraction form
    7,114.62/10,672.17 = 2,183.82/x
  3. Step 3: Cross multiply
    7,114.62x = 10,672.17 × 2,183.82
  4. Step 4: Simplify right side
    7,114.62x = 23,306,098.29
  5. Step 5: Solve for x
    x = 23,306,098.29/7,114.62
  6. Step 6: Final answer
    x = 3,275.80

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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.