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Finding the Fourth Proportional to 7,694.17, 11,540.90 and 2,147.40

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Solution

The fourth proportional to 7,694.17, 11,540.90 and 2,147.40 is: 3,221.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.17 : 11,540.90 = 2,147.40 : x
  2. Step 2: Convert to fraction form
    7,694.17/11,540.90 = 2,147.40/x
  3. Step 3: Cross multiply
    7,694.17x = 11,540.90 × 2,147.40
  4. Step 4: Simplify right side
    7,694.17x = 24,782,934.03
  5. Step 5: Solve for x
    x = 24,782,934.03/7,694.17
  6. Step 6: Final answer
    x = 3,221.00

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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.