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Finding the Fourth Proportional to 8,185.92, 12,280.68 and 2,991.76

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Solution

The fourth proportional to 8,185.92, 12,280.68 and 2,991.76 is: 4,488.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.92 : 12,280.68 = 2,991.76 : x
  2. Step 2: Convert to fraction form
    8,185.92/12,280.68 = 2,991.76/x
  3. Step 3: Cross multiply
    8,185.92x = 12,280.68 × 2,991.76
  4. Step 4: Simplify right side
    8,185.92x = 36,740,847.20
  5. Step 5: Solve for x
    x = 36,740,847.20/8,185.92
  6. Step 6: Final answer
    x = 4,488.30

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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.