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Finding the Fourth Proportional to 8,132.44, 12,195.96 and 3,200.80

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Solution

The fourth proportional to 8,132.44, 12,195.96 and 3,200.80 is: 4,800.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.44 : 12,195.96 = 3,200.80 : x
  2. Step 2: Convert to fraction form
    8,132.44/12,195.96 = 3,200.80/x
  3. Step 3: Cross multiply
    8,132.44x = 12,195.96 × 3,200.80
  4. Step 4: Simplify right side
    8,132.44x = 39,036,828.77
  5. Step 5: Solve for x
    x = 39,036,828.77/8,132.44
  6. Step 6: Final answer
    x = 4,800.14

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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.