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Finding the Fourth Proportional to 8,354.46, 12,436.20 and 8,229.88

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Solution

The fourth proportional to 8,354.46, 12,436.20 and 8,229.88 is: 12,250.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.46 : 12,436.20 = 8,229.88 : x
  2. Step 2: Convert to fraction form
    8,354.46/12,436.20 = 8,229.88/x
  3. Step 3: Cross multiply
    8,354.46x = 12,436.20 × 8,229.88
  4. Step 4: Simplify right side
    8,354.46x = 102,348,433.66
  5. Step 5: Solve for x
    x = 102,348,433.66/8,354.46
  6. Step 6: Final answer
    x = 12,250.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.