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Finding the Fourth Proportional to 7,447.97, 11,176.66 and 4,163.22

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Solution

The fourth proportional to 7,447.97, 11,176.66 and 4,163.22 is: 6,247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.97 : 11,176.66 = 4,163.22 : x
  2. Step 2: Convert to fraction form
    7,447.97/11,176.66 = 4,163.22/x
  3. Step 3: Cross multiply
    7,447.97x = 11,176.66 × 4,163.22
  4. Step 4: Simplify right side
    7,447.97x = 46,530,876.91
  5. Step 5: Solve for x
    x = 46,530,876.91/7,447.97
  6. Step 6: Final answer
    x = 6,247.46

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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.