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Finding the Fourth Proportional to 7,447.92, 11,175.81 and 3,290.79

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Solution

The fourth proportional to 7,447.92, 11,175.81 and 3,290.79 is: 4,937.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.92 : 11,175.81 = 3,290.79 : x
  2. Step 2: Convert to fraction form
    7,447.92/11,175.81 = 3,290.79/x
  3. Step 3: Cross multiply
    7,447.92x = 11,175.81 × 3,290.79
  4. Step 4: Simplify right side
    7,447.92x = 36,777,273.36
  5. Step 5: Solve for x
    x = 36,777,273.36/7,447.92
  6. Step 6: Final answer
    x = 4,937.93

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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.