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Finding the Fourth Proportional to 8,132.81, 12,200.11 and 3,201.80

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Solution

The fourth proportional to 8,132.81, 12,200.11 and 3,201.80 is: 4,803.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.81 : 12,200.11 = 3,201.80 : x
  2. Step 2: Convert to fraction form
    8,132.81/12,200.11 = 3,201.80/x
  3. Step 3: Cross multiply
    8,132.81x = 12,200.11 × 3,201.80
  4. Step 4: Simplify right side
    8,132.81x = 39,062,243.19
  5. Step 5: Solve for x
    x = 39,062,243.19/8,132.81
  6. Step 6: Final answer
    x = 4,803.05

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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.