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Finding the Fourth Proportional to 7,546.70, 11,324.46 and 3,163.82

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Solution

The fourth proportional to 7,546.70, 11,324.46 and 3,163.82 is: 4,747.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.70 : 11,324.46 = 3,163.82 : x
  2. Step 2: Convert to fraction form
    7,546.70/11,324.46 = 3,163.82/x
  3. Step 3: Cross multiply
    7,546.70x = 11,324.46 × 3,163.82
  4. Step 4: Simplify right side
    7,546.70x = 35,828,553.04
  5. Step 5: Solve for x
    x = 35,828,553.04/7,546.70
  6. Step 6: Final answer
    x = 4,747.58

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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.