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Finding the Fourth Proportional to 7,548.54, 11,324.43 and 3,163.47

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Solution

The fourth proportional to 7,548.54, 11,324.43 and 3,163.47 is: 4,745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.54 : 11,324.43 = 3,163.47 : x
  2. Step 2: Convert to fraction form
    7,548.54/11,324.43 = 3,163.47/x
  3. Step 3: Cross multiply
    7,548.54x = 11,324.43 × 3,163.47
  4. Step 4: Simplify right side
    7,548.54x = 35,824,494.57
  5. Step 5: Solve for x
    x = 35,824,494.57/7,548.54
  6. Step 6: Final answer
    x = 4,745.88

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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.