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Finding the Fourth Proportional to 10,163.65, 15,209.43 and 6,213.55

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Solution

The fourth proportional to 10,163.65, 15,209.43 and 6,213.55 is: 9,298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,163.65 : 15,209.43 = 6,213.55 : x
  2. Step 2: Convert to fraction form
    10,163.65/15,209.43 = 6,213.55/x
  3. Step 3: Cross multiply
    10,163.65x = 15,209.43 × 6,213.55
  4. Step 4: Simplify right side
    10,163.65x = 94,504,553.78
  5. Step 5: Solve for x
    x = 94,504,553.78/10,163.65
  6. Step 6: Final answer
    x = 9,298.29

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