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Finding the Fourth Proportional to 10,759.27, 14,847.24 and 5,979.49

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Solution

The fourth proportional to 10,759.27, 14,847.24 and 5,979.49 is: 8,251.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.27 : 14,847.24 = 5,979.49 : x
  2. Step 2: Convert to fraction form
    10,759.27/14,847.24 = 5,979.49/x
  3. Step 3: Cross multiply
    10,759.27x = 14,847.24 × 5,979.49
  4. Step 4: Simplify right side
    10,759.27x = 88,778,923.11
  5. Step 5: Solve for x
    x = 88,778,923.11/10,759.27
  6. Step 6: Final answer
    x = 8,251.39

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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.