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Finding the Fourth Proportional to 8,151.64, 12,226.42 and 2,605.57

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Solution

The fourth proportional to 8,151.64, 12,226.42 and 2,605.57 is: 3,908.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.64 : 12,226.42 = 2,605.57 : x
  2. Step 2: Convert to fraction form
    8,151.64/12,226.42 = 2,605.57/x
  3. Step 3: Cross multiply
    8,151.64x = 12,226.42 × 2,605.57
  4. Step 4: Simplify right side
    8,151.64x = 31,856,793.16
  5. Step 5: Solve for x
    x = 31,856,793.16/8,151.64
  6. Step 6: Final answer
    x = 3,908.02

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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.