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Finding the Fourth Proportional to 8,137.82, 12,207.62 and 2,589.21

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Solution

The fourth proportional to 8,137.82, 12,207.62 and 2,589.21 is: 3,884.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.82 : 12,207.62 = 2,589.21 : x
  2. Step 2: Convert to fraction form
    8,137.82/12,207.62 = 2,589.21/x
  3. Step 3: Cross multiply
    8,137.82x = 12,207.62 × 2,589.21
  4. Step 4: Simplify right side
    8,137.82x = 31,608,144.03
  5. Step 5: Solve for x
    x = 31,608,144.03/8,137.82
  6. Step 6: Final answer
    x = 3,884.11

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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.