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Finding the Fourth Proportional to 12,091.92, 18,134.04 and 3,882

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Solution

The fourth proportional to 12,091.92, 18,134.04 and 3,882 is: 5,821.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,091.92 : 18,134.04 = 3,882 : x
  2. Step 2: Convert to fraction form
    12,091.92/18,134.04 = 3,882/x
  3. Step 3: Cross multiply
    12,091.92x = 18,134.04 × 3,882
  4. Step 4: Simplify right side
    12,091.92x = 70,396,343.28
  5. Step 5: Solve for x
    x = 70,396,343.28/12,091.92
  6. Step 6: Final answer
    x = 5,821.77

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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.