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Finding the Fourth Proportional to 8,121.84, 12,183.20 and 2,575.62

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Solution

The fourth proportional to 8,121.84, 12,183.20 and 2,575.62 is: 3,863.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.84 : 12,183.20 = 2,575.62 : x
  2. Step 2: Convert to fraction form
    8,121.84/12,183.20 = 2,575.62/x
  3. Step 3: Cross multiply
    8,121.84x = 12,183.20 × 2,575.62
  4. Step 4: Simplify right side
    8,121.84x = 31,379,280.71
  5. Step 5: Solve for x
    x = 31,379,280.71/8,121.84
  6. Step 6: Final answer
    x = 3,863.57

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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.