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Finding the Fourth Proportional to 7,793.44, 11,685.24 and 5,158.09

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Solution

The fourth proportional to 7,793.44, 11,685.24 and 5,158.09 is: 7,733.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.44 : 11,685.24 = 5,158.09 : x
  2. Step 2: Convert to fraction form
    7,793.44/11,685.24 = 5,158.09/x
  3. Step 3: Cross multiply
    7,793.44x = 11,685.24 × 5,158.09
  4. Step 4: Simplify right side
    7,793.44x = 60,273,519.59
  5. Step 5: Solve for x
    x = 60,273,519.59/7,793.44
  6. Step 6: Final answer
    x = 7,733.88

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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.