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Finding the Fourth Proportional to 8,122.80, 12,181.13 and 3,189.75

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Solution

The fourth proportional to 8,122.80, 12,181.13 and 3,189.75 is: 4,783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.80 : 12,181.13 = 3,189.75 : x
  2. Step 2: Convert to fraction form
    8,122.80/12,181.13 = 3,189.75/x
  3. Step 3: Cross multiply
    8,122.80x = 12,181.13 × 3,189.75
  4. Step 4: Simplify right side
    8,122.80x = 38,854,755.43
  5. Step 5: Solve for x
    x = 38,854,755.43/8,122.80
  6. Step 6: Final answer
    x = 4,783.42

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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.