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Finding the Fourth Proportional to 8,517.54, 12,778.50 and 2,674.20

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Solution

The fourth proportional to 8,517.54, 12,778.50 and 2,674.20 is: 4,011.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.54 : 12,778.50 = 2,674.20 : x
  2. Step 2: Convert to fraction form
    8,517.54/12,778.50 = 2,674.20/x
  3. Step 3: Cross multiply
    8,517.54x = 12,778.50 × 2,674.20
  4. Step 4: Simplify right side
    8,517.54x = 34,172,264.70
  5. Step 5: Solve for x
    x = 34,172,264.70/8,517.54
  6. Step 6: Final answer
    x = 4,011.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.