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Finding the Fourth Proportional to 7,249.46, 10,871.87 and 3,738.38

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Solution

The fourth proportional to 7,249.46, 10,871.87 and 3,738.38 is: 5,606.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,249.46 : 10,871.87 = 3,738.38 : x
  2. Step 2: Convert to fraction form
    7,249.46/10,871.87 = 3,738.38/x
  3. Step 3: Cross multiply
    7,249.46x = 10,871.87 × 3,738.38
  4. Step 4: Simplify right side
    7,249.46x = 40,643,108.32
  5. Step 5: Solve for x
    x = 40,643,108.32/7,249.46
  6. Step 6: Final answer
    x = 5,606.37

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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.