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Finding the Fourth Proportional to 7,694.68, 11,540.97 and 2,763.61

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Solution

The fourth proportional to 7,694.68, 11,540.97 and 2,763.61 is: 4,145.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.68 : 11,540.97 = 2,763.61 : x
  2. Step 2: Convert to fraction form
    7,694.68/11,540.97 = 2,763.61/x
  3. Step 3: Cross multiply
    7,694.68x = 11,540.97 × 2,763.61
  4. Step 4: Simplify right side
    7,694.68x = 31,894,740.10
  5. Step 5: Solve for x
    x = 31,894,740.10/7,694.68
  6. Step 6: Final answer
    x = 4,145.04

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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.