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Finding the Fourth Proportional to 8,305.82, 12,478.18 and 7,139.42

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Solution

The fourth proportional to 8,305.82, 12,478.18 and 7,139.42 is: 10,725.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.82 : 12,478.18 = 7,139.42 : x
  2. Step 2: Convert to fraction form
    8,305.82/12,478.18 = 7,139.42/x
  3. Step 3: Cross multiply
    8,305.82x = 12,478.18 × 7,139.42
  4. Step 4: Simplify right side
    8,305.82x = 89,086,967.86
  5. Step 5: Solve for x
    x = 89,086,967.86/8,305.82
  6. Step 6: Final answer
    x = 10,725.85

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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.