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Finding the Fourth Proportional to 8,091.92, 12,138.74 and 2,545.44

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Solution

The fourth proportional to 8,091.92, 12,138.74 and 2,545.44 is: 3,818.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.92 : 12,138.74 = 2,545.44 : x
  2. Step 2: Convert to fraction form
    8,091.92/12,138.74 = 2,545.44/x
  3. Step 3: Cross multiply
    8,091.92x = 12,138.74 × 2,545.44
  4. Step 4: Simplify right side
    8,091.92x = 30,898,434.35
  5. Step 5: Solve for x
    x = 30,898,434.35/8,091.92
  6. Step 6: Final answer
    x = 3,818.43

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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.