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Finding the Fourth Proportional to 10,680.26, 16,006.41 and 5,739.26

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Solution

The fourth proportional to 10,680.26, 16,006.41 and 5,739.26 is: 8,601.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,680.26 : 16,006.41 = 5,739.26 : x
  2. Step 2: Convert to fraction form
    10,680.26/16,006.41 = 5,739.26/x
  3. Step 3: Cross multiply
    10,680.26x = 16,006.41 × 5,739.26
  4. Step 4: Simplify right side
    10,680.26x = 91,864,868.62
  5. Step 5: Solve for x
    x = 91,864,868.62/10,680.26
  6. Step 6: Final answer
    x = 8,601.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.