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Finding the Fourth Proportional to 8,091.96, 12,137.97 and 2,545.74

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Solution

The fourth proportional to 8,091.96, 12,137.97 and 2,545.74 is: 3,818.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.96 : 12,137.97 = 2,545.74 : x
  2. Step 2: Convert to fraction form
    8,091.96/12,137.97 = 2,545.74/x
  3. Step 3: Cross multiply
    8,091.96x = 12,137.97 × 2,545.74
  4. Step 4: Simplify right side
    8,091.96x = 30,900,115.75
  5. Step 5: Solve for x
    x = 30,900,115.75/8,091.96
  6. Step 6: Final answer
    x = 3,818.62

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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.