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Finding the Fourth Proportional to 11,842.27, 16,348.25 and 7,367.47

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Solution

The fourth proportional to 11,842.27, 16,348.25 and 7,367.47 is: 10,170.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.27 : 16,348.25 = 7,367.47 : x
  2. Step 2: Convert to fraction form
    11,842.27/16,348.25 = 7,367.47/x
  3. Step 3: Cross multiply
    11,842.27x = 16,348.25 × 7,367.47
  4. Step 4: Simplify right side
    11,842.27x = 120,445,241.43
  5. Step 5: Solve for x
    x = 120,445,241.43/11,842.27
  6. Step 6: Final answer
    x = 10,170.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.