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Finding the Fourth Proportional to 11,884.70, 16,400.78 and 6,579.38

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Solution

The fourth proportional to 11,884.70, 16,400.78 and 6,579.38 is: 9,079.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.70 : 16,400.78 = 6,579.38 : x
  2. Step 2: Convert to fraction form
    11,884.70/16,400.78 = 6,579.38/x
  3. Step 3: Cross multiply
    11,884.70x = 16,400.78 × 6,579.38
  4. Step 4: Simplify right side
    11,884.70x = 107,906,963.92
  5. Step 5: Solve for x
    x = 107,906,963.92/11,884.70
  6. Step 6: Final answer
    x = 9,079.49

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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.