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Finding the Fourth Proportional to 8,043.91, 12,049.44 and 4,140.12

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Solution

The fourth proportional to 8,043.91, 12,049.44 and 4,140.12 is: 6,201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,043.91 : 12,049.44 = 4,140.12 : x
  2. Step 2: Convert to fraction form
    8,043.91/12,049.44 = 4,140.12/x
  3. Step 3: Cross multiply
    8,043.91x = 12,049.44 × 4,140.12
  4. Step 4: Simplify right side
    8,043.91x = 49,886,067.29
  5. Step 5: Solve for x
    x = 49,886,067.29/8,043.91
  6. Step 6: Final answer
    x = 6,201.72

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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.