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Finding the Fourth Proportional to 11,884, 16,404.24 and 6,916

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Solution

The fourth proportional to 11,884, 16,404.24 and 6,916 is: 9,546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884 : 16,404.24 = 6,916 : x
  2. Step 2: Convert to fraction form
    11,884/16,404.24 = 6,916/x
  3. Step 3: Cross multiply
    11,884x = 16,404.24 × 6,916
  4. Step 4: Simplify right side
    11,884x = 113,451,723.84
  5. Step 5: Solve for x
    x = 113,451,723.84/11,884
  6. Step 6: Final answer
    x = 9,546.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.