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Finding the Fourth Proportional to 8,179.34, 12,266.96 and 3,497.04

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Solution

The fourth proportional to 8,179.34, 12,266.96 and 3,497.04 is: 5,244.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.34 : 12,266.96 = 3,497.04 : x
  2. Step 2: Convert to fraction form
    8,179.34/12,266.96 = 3,497.04/x
  3. Step 3: Cross multiply
    8,179.34x = 12,266.96 × 3,497.04
  4. Step 4: Simplify right side
    8,179.34x = 42,898,049.80
  5. Step 5: Solve for x
    x = 42,898,049.80/8,179.34
  6. Step 6: Final answer
    x = 5,244.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.