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Finding the Fourth Proportional to 11,589.58, 17,383.92 and 8,069.42

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Solution

The fourth proportional to 11,589.58, 17,383.92 and 8,069.42 is: 12,103.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.58 : 17,383.92 = 8,069.42 : x
  2. Step 2: Convert to fraction form
    11,589.58/17,383.92 = 8,069.42/x
  3. Step 3: Cross multiply
    11,589.58x = 17,383.92 × 8,069.42
  4. Step 4: Simplify right side
    11,589.58x = 140,278,164.93
  5. Step 5: Solve for x
    x = 140,278,164.93/11,589.58
  6. Step 6: Final answer
    x = 12,103.82

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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.