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Finding the Fourth Proportional to 10,163.75, 15,229.88 and 7,049.81

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Solution

The fourth proportional to 10,163.75, 15,229.88 and 7,049.81 is: 10,563.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,163.75 : 15,229.88 = 7,049.81 : x
  2. Step 2: Convert to fraction form
    10,163.75/15,229.88 = 7,049.81/x
  3. Step 3: Cross multiply
    10,163.75x = 15,229.88 × 7,049.81
  4. Step 4: Simplify right side
    10,163.75x = 107,367,760.32
  5. Step 5: Solve for x
    x = 107,367,760.32/10,163.75
  6. Step 6: Final answer
    x = 10,563.79

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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.