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Finding the Fourth Proportional to 10,529, 15,791.37 and 3,863.23

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Solution

The fourth proportional to 10,529, 15,791.37 and 3,863.23 is: 5,794.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,529 : 15,791.37 = 3,863.23 : x
  2. Step 2: Convert to fraction form
    10,529/15,791.37 = 3,863.23/x
  3. Step 3: Cross multiply
    10,529x = 15,791.37 × 3,863.23
  4. Step 4: Simplify right side
    10,529x = 61,005,694.33
  5. Step 5: Solve for x
    x = 61,005,694.33/10,529
  6. Step 6: Final answer
    x = 5,794.06

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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.