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Finding the Fourth Proportional to 11,183, 16,775.07 and 2,863.09

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Solution

The fourth proportional to 11,183, 16,775.07 and 2,863.09 is: 4,294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,183 : 16,775.07 = 2,863.09 : x
  2. Step 2: Convert to fraction form
    11,183/16,775.07 = 2,863.09/x
  3. Step 3: Cross multiply
    11,183x = 16,775.07 × 2,863.09
  4. Step 4: Simplify right side
    11,183x = 48,028,535.17
  5. Step 5: Solve for x
    x = 48,028,535.17/11,183
  6. Step 6: Final answer
    x = 4,294.78

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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.