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Finding the Fourth Proportional to 11,183.46, 16,775.14 and 2,863.46

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Solution

The fourth proportional to 11,183.46, 16,775.14 and 2,863.46 is: 4,295.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,183.46 : 16,775.14 = 2,863.46 : x
  2. Step 2: Convert to fraction form
    11,183.46/16,775.14 = 2,863.46/x
  3. Step 3: Cross multiply
    11,183.46x = 16,775.14 × 2,863.46
  4. Step 4: Simplify right side
    11,183.46x = 48,034,942.38
  5. Step 5: Solve for x
    x = 48,034,942.38/11,183.46
  6. Step 6: Final answer
    x = 4,295.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.