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Finding the Fourth Proportional to 11,727, 16,183.30 and 6,759

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Solution

The fourth proportional to 11,727, 16,183.30 and 6,759 is: 9,327.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,727 : 16,183.30 = 6,759 : x
  2. Step 2: Convert to fraction form
    11,727/16,183.30 = 6,759/x
  3. Step 3: Cross multiply
    11,727x = 16,183.30 × 6,759
  4. Step 4: Simplify right side
    11,727x = 109,382,924.70
  5. Step 5: Solve for x
    x = 109,382,924.70/11,727
  6. Step 6: Final answer
    x = 9,327.44

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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.