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Finding the Fourth Proportional to 7,691.67, 11,535.67 and 2,145.20

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Solution

The fourth proportional to 7,691.67, 11,535.67 and 2,145.20 is: 3,217.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.67 : 11,535.67 = 2,145.20 : x
  2. Step 2: Convert to fraction form
    7,691.67/11,535.67 = 2,145.20/x
  3. Step 3: Cross multiply
    7,691.67x = 11,535.67 × 2,145.20
  4. Step 4: Simplify right side
    7,691.67x = 24,746,319.28
  5. Step 5: Solve for x
    x = 24,746,319.28/7,691.67
  6. Step 6: Final answer
    x = 3,217.29

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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.