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Finding the Fourth Proportional to 8,522.64, 12,766.86 and 6,770.52

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Solution

The fourth proportional to 8,522.64, 12,766.86 and 6,770.52 is: 10,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.64 : 12,766.86 = 6,770.52 : x
  2. Step 2: Convert to fraction form
    8,522.64/12,766.86 = 6,770.52/x
  3. Step 3: Cross multiply
    8,522.64x = 12,766.86 × 6,770.52
  4. Step 4: Simplify right side
    8,522.64x = 86,438,280.97
  5. Step 5: Solve for x
    x = 86,438,280.97/8,522.64
  6. Step 6: Final answer
    x = 10,142.20

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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.