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Finding the Fourth Proportional to 10,163.28, 15,236.84 and 6,675

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Solution

The fourth proportional to 10,163.28, 15,236.84 and 6,675 is: 10,007.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,163.28 : 15,236.84 = 6,675 : x
  2. Step 2: Convert to fraction form
    10,163.28/15,236.84 = 6,675/x
  3. Step 3: Cross multiply
    10,163.28x = 15,236.84 × 6,675
  4. Step 4: Simplify right side
    10,163.28x = 101,705,907
  5. Step 5: Solve for x
    x = 101,705,907/10,163.28
  6. Step 6: Final answer
    x = 10,007.19

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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.