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Finding the Fourth Proportional to 11,241.96, 15,514.92 and 6,207.27

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Solution

The fourth proportional to 11,241.96, 15,514.92 and 6,207.27 is: 8,566.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,241.96 : 15,514.92 = 6,207.27 : x
  2. Step 2: Convert to fraction form
    11,241.96/15,514.92 = 6,207.27/x
  3. Step 3: Cross multiply
    11,241.96x = 15,514.92 × 6,207.27
  4. Step 4: Simplify right side
    11,241.96x = 96,305,297.47
  5. Step 5: Solve for x
    x = 96,305,297.47/11,241.96
  6. Step 6: Final answer
    x = 8,566.59

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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.