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Finding the Fourth Proportional to 8,156.20, 12,234.30 and 7,232.80

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Solution

The fourth proportional to 8,156.20, 12,234.30 and 7,232.80 is: 10,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.20 : 12,234.30 = 7,232.80 : x
  2. Step 2: Convert to fraction form
    8,156.20/12,234.30 = 7,232.80/x
  3. Step 3: Cross multiply
    8,156.20x = 12,234.30 × 7,232.80
  4. Step 4: Simplify right side
    8,156.20x = 88,488,245.04
  5. Step 5: Solve for x
    x = 88,488,245.04/8,156.20
  6. Step 6: Final answer
    x = 10,849.20

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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.