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Finding the Fourth Proportional to 11,793.73, 17,691.84 and 5,872.09

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Solution

The fourth proportional to 11,793.73, 17,691.84 and 5,872.09 is: 8,808.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.73 : 17,691.84 = 5,872.09 : x
  2. Step 2: Convert to fraction form
    11,793.73/17,691.84 = 5,872.09/x
  3. Step 3: Cross multiply
    11,793.73x = 17,691.84 × 5,872.09
  4. Step 4: Simplify right side
    11,793.73x = 103,887,958.93
  5. Step 5: Solve for x
    x = 103,887,958.93/11,793.73
  6. Step 6: Final answer
    x = 8,808.74

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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.