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Finding the Fourth Proportional to 8,183.52, 12,277.17 and 2,989.44

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Solution

The fourth proportional to 8,183.52, 12,277.17 and 2,989.44 is: 4,484.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.52 : 12,277.17 = 2,989.44 : x
  2. Step 2: Convert to fraction form
    8,183.52/12,277.17 = 2,989.44/x
  3. Step 3: Cross multiply
    8,183.52x = 12,277.17 × 2,989.44
  4. Step 4: Simplify right side
    8,183.52x = 36,701,863.08
  5. Step 5: Solve for x
    x = 36,701,863.08/8,183.52
  6. Step 6: Final answer
    x = 4,484.85

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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.