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Finding the Fourth Proportional to 8,131.44, 12,213.36 and 7,672.96

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Solution

The fourth proportional to 8,131.44, 12,213.36 and 7,672.96 is: 11,524.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.44 : 12,213.36 = 7,672.96 : x
  2. Step 2: Convert to fraction form
    8,131.44/12,213.36 = 7,672.96/x
  3. Step 3: Cross multiply
    8,131.44x = 12,213.36 × 7,672.96
  4. Step 4: Simplify right side
    8,131.44x = 93,712,622.75
  5. Step 5: Solve for x
    x = 93,712,622.75/8,131.44
  6. Step 6: Final answer
    x = 11,524.73

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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.