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Finding the Fourth Proportional to 11,863.44, 16,369.80 and 6,759

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Solution

The fourth proportional to 11,863.44, 16,369.80 and 6,759 is: 9,326.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.44 : 16,369.80 = 6,759 : x
  2. Step 2: Convert to fraction form
    11,863.44/16,369.80 = 6,759/x
  3. Step 3: Cross multiply
    11,863.44x = 16,369.80 × 6,759
  4. Step 4: Simplify right side
    11,863.44x = 110,643,478.20
  5. Step 5: Solve for x
    x = 110,643,478.20/11,863.44
  6. Step 6: Final answer
    x = 9,326.42

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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.