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Finding the Fourth Proportional to 8,766.57, 12,097.56 and 5,227.95

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Solution

The fourth proportional to 8,766.57, 12,097.56 and 5,227.95 is: 7,214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,766.57 : 12,097.56 = 5,227.95 : x
  2. Step 2: Convert to fraction form
    8,766.57/12,097.56 = 5,227.95/x
  3. Step 3: Cross multiply
    8,766.57x = 12,097.56 × 5,227.95
  4. Step 4: Simplify right side
    8,766.57x = 63,245,438.80
  5. Step 5: Solve for x
    x = 63,245,438.80/8,766.57
  6. Step 6: Final answer
    x = 7,214.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.