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Finding the Fourth Proportional to 11,093, 16,640.58 and 2,885

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Solution

The fourth proportional to 11,093, 16,640.58 and 2,885 is: 4,327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,093 : 16,640.58 = 2,885 : x
  2. Step 2: Convert to fraction form
    11,093/16,640.58 = 2,885/x
  3. Step 3: Cross multiply
    11,093x = 16,640.58 × 2,885
  4. Step 4: Simplify right side
    11,093x = 48,008,073.30
  5. Step 5: Solve for x
    x = 48,008,073.30/11,093
  6. Step 6: Final answer
    x = 4,327.78

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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.