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Finding the Fourth Proportional to 10,563.87, 15,843.24 and 5,302.08

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Solution

The fourth proportional to 10,563.87, 15,843.24 and 5,302.08 is: 7,951.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.87 : 15,843.24 = 5,302.08 : x
  2. Step 2: Convert to fraction form
    10,563.87/15,843.24 = 5,302.08/x
  3. Step 3: Cross multiply
    10,563.87x = 15,843.24 × 5,302.08
  4. Step 4: Simplify right side
    10,563.87x = 84,002,125.94
  5. Step 5: Solve for x
    x = 84,002,125.94/10,563.87
  6. Step 6: Final answer
    x = 7,951.83

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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.