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Finding the Fourth Proportional to 10,163.25, 15,229.14 and 7,049.31

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Solution

The fourth proportional to 10,163.25, 15,229.14 and 7,049.31 is: 10,563.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,163.25 : 15,229.14 = 7,049.31 : x
  2. Step 2: Convert to fraction form
    10,163.25/15,229.14 = 7,049.31/x
  3. Step 3: Cross multiply
    10,163.25x = 15,229.14 × 7,049.31
  4. Step 4: Simplify right side
    10,163.25x = 107,354,928.89
  5. Step 5: Solve for x
    x = 107,354,928.89/10,163.25
  6. Step 6: Final answer
    x = 10,563.05

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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.