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Finding the Fourth Proportional to 8,522.60, 12,766.88 and 6,770.57

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Solution

The fourth proportional to 8,522.60, 12,766.88 and 6,770.57 is: 10,142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.60 : 12,766.88 = 6,770.57 : x
  2. Step 2: Convert to fraction form
    8,522.60/12,766.88 = 6,770.57/x
  3. Step 3: Cross multiply
    8,522.60x = 12,766.88 × 6,770.57
  4. Step 4: Simplify right side
    8,522.60x = 86,438,957.03
  5. Step 5: Solve for x
    x = 86,438,957.03/8,522.60
  6. Step 6: Final answer
    x = 10,142.33

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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.