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Finding the Fourth Proportional to 8,310.40, 12,472.40 and 8,245.60

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Solution

The fourth proportional to 8,310.40, 12,472.40 and 8,245.60 is: 12,375.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.40 : 12,472.40 = 8,245.60 : x
  2. Step 2: Convert to fraction form
    8,310.40/12,472.40 = 8,245.60/x
  3. Step 3: Cross multiply
    8,310.40x = 12,472.40 × 8,245.60
  4. Step 4: Simplify right side
    8,310.40x = 102,842,421.44
  5. Step 5: Solve for x
    x = 102,842,421.44/8,310.40
  6. Step 6: Final answer
    x = 12,375.15

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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.