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Finding the Fourth Proportional to 8,234.28, 11,327.42 and 7,221.44

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Solution

The fourth proportional to 8,234.28, 11,327.42 and 7,221.44 is: 9,934.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.28 : 11,327.42 = 7,221.44 : x
  2. Step 2: Convert to fraction form
    8,234.28/11,327.42 = 7,221.44/x
  3. Step 3: Cross multiply
    8,234.28x = 11,327.42 × 7,221.44
  4. Step 4: Simplify right side
    8,234.28x = 81,800,191.14
  5. Step 5: Solve for x
    x = 81,800,191.14/8,234.28
  6. Step 6: Final answer
    x = 9,934.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.