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Finding the Fourth Proportional to 8,431.87, 12,650.33 and 3,992.92

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Solution

The fourth proportional to 8,431.87, 12,650.33 and 3,992.92 is: 5,990.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.87 : 12,650.33 = 3,992.92 : x
  2. Step 2: Convert to fraction form
    8,431.87/12,650.33 = 3,992.92/x
  3. Step 3: Cross multiply
    8,431.87x = 12,650.33 × 3,992.92
  4. Step 4: Simplify right side
    8,431.87x = 50,511,672.45
  5. Step 5: Solve for x
    x = 50,511,672.45/8,431.87
  6. Step 6: Final answer
    x = 5,990.57

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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.