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Finding the Fourth Proportional to 8,134.16, 12,192.86 and 3,201.80

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Solution

The fourth proportional to 8,134.16, 12,192.86 and 3,201.80 is: 4,799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.16 : 12,192.86 = 3,201.80 : x
  2. Step 2: Convert to fraction form
    8,134.16/12,192.86 = 3,201.80/x
  3. Step 3: Cross multiply
    8,134.16x = 12,192.86 × 3,201.80
  4. Step 4: Simplify right side
    8,134.16x = 39,039,099.15
  5. Step 5: Solve for x
    x = 39,039,099.15/8,134.16
  6. Step 6: Final answer
    x = 4,799.40

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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.