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Finding the Fourth Proportional to 8,129.19, 12,193.80 and 3,201.15

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Solution

The fourth proportional to 8,129.19, 12,193.80 and 3,201.15 is: 4,801.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.19 : 12,193.80 = 3,201.15 : x
  2. Step 2: Convert to fraction form
    8,129.19/12,193.80 = 3,201.15/x
  3. Step 3: Cross multiply
    8,129.19x = 12,193.80 × 3,201.15
  4. Step 4: Simplify right side
    8,129.19x = 39,034,182.87
  5. Step 5: Solve for x
    x = 39,034,182.87/8,129.19
  6. Step 6: Final answer
    x = 4,801.73

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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.