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Finding the Fourth Proportional to 8,015.28, 12,022.92 and 3,853.92

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Solution

The fourth proportional to 8,015.28, 12,022.92 and 3,853.92 is: 5,780.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,015.28 : 12,022.92 = 3,853.92 : x
  2. Step 2: Convert to fraction form
    8,015.28/12,022.92 = 3,853.92/x
  3. Step 3: Cross multiply
    8,015.28x = 12,022.92 × 3,853.92
  4. Step 4: Simplify right side
    8,015.28x = 46,335,371.85
  5. Step 5: Solve for x
    x = 46,335,371.85/8,015.28
  6. Step 6: Final answer
    x = 5,780.88

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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.