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Finding the Fourth Proportional to 8,263.14, 12,397.24 and 2,640.66

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Solution

The fourth proportional to 8,263.14, 12,397.24 and 2,640.66 is: 3,961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.14 : 12,397.24 = 2,640.66 : x
  2. Step 2: Convert to fraction form
    8,263.14/12,397.24 = 2,640.66/x
  3. Step 3: Cross multiply
    8,263.14x = 12,397.24 × 2,640.66
  4. Step 4: Simplify right side
    8,263.14x = 32,736,895.78
  5. Step 5: Solve for x
    x = 32,736,895.78/8,263.14
  6. Step 6: Final answer
    x = 3,961.80

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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.