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Finding the Fourth Proportional to 8,517.46, 12,778.24 and 2,674.07

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Solution

The fourth proportional to 8,517.46, 12,778.24 and 2,674.07 is: 4,011.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.46 : 12,778.24 = 2,674.07 : x
  2. Step 2: Convert to fraction form
    8,517.46/12,778.24 = 2,674.07/x
  3. Step 3: Cross multiply
    8,517.46x = 12,778.24 × 2,674.07
  4. Step 4: Simplify right side
    8,517.46x = 34,169,847.69
  5. Step 5: Solve for x
    x = 34,169,847.69/8,517.46
  6. Step 6: Final answer
    x = 4,011.74

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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.