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Finding the Fourth Proportional to 7,446.93, 11,171.64 and 2,447.97

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Solution

The fourth proportional to 7,446.93, 11,171.64 and 2,447.97 is: 3,672.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.93 : 11,171.64 = 2,447.97 : x
  2. Step 2: Convert to fraction form
    7,446.93/11,171.64 = 2,447.97/x
  3. Step 3: Cross multiply
    7,446.93x = 11,171.64 × 2,447.97
  4. Step 4: Simplify right side
    7,446.93x = 27,347,839.57
  5. Step 5: Solve for x
    x = 27,347,839.57/7,446.93
  6. Step 6: Final answer
    x = 3,672.36

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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.