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Finding the Fourth Proportional to 8,224.20, 12,336.30 and 8,166.60

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Solution

The fourth proportional to 8,224.20, 12,336.30 and 8,166.60 is: 12,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.20 : 12,336.30 = 8,166.60 : x
  2. Step 2: Convert to fraction form
    8,224.20/12,336.30 = 8,166.60/x
  3. Step 3: Cross multiply
    8,224.20x = 12,336.30 × 8,166.60
  4. Step 4: Simplify right side
    8,224.20x = 100,745,627.58
  5. Step 5: Solve for x
    x = 100,745,627.58/8,224.20
  6. Step 6: Final answer
    x = 12,249.90

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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.