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Finding the Fourth Proportional to 8,121.94, 12,183.24 and 2,575.16

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Solution

The fourth proportional to 8,121.94, 12,183.24 and 2,575.16 is: 3,862.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.94 : 12,183.24 = 2,575.16 : x
  2. Step 2: Convert to fraction form
    8,121.94/12,183.24 = 2,575.16/x
  3. Step 3: Cross multiply
    8,121.94x = 12,183.24 × 2,575.16
  4. Step 4: Simplify right side
    8,121.94x = 31,373,786.75
  5. Step 5: Solve for x
    x = 31,373,786.75/8,121.94
  6. Step 6: Final answer
    x = 3,862.85

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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.