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Finding the Fourth Proportional to 7,694.67, 11,540.17 and 2,148.20

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Solution

The fourth proportional to 7,694.67, 11,540.17 and 2,148.20 is: 3,221.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.67 : 11,540.17 = 2,148.20 : x
  2. Step 2: Convert to fraction form
    7,694.67/11,540.17 = 2,148.20/x
  3. Step 3: Cross multiply
    7,694.67x = 11,540.17 × 2,148.20
  4. Step 4: Simplify right side
    7,694.67x = 24,790,593.19
  5. Step 5: Solve for x
    x = 24,790,593.19/7,694.67
  6. Step 6: Final answer
    x = 3,221.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.