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Finding the Fourth Proportional to 11,241.78, 15,514.52 and 6,206.97

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Solution

The fourth proportional to 11,241.78, 15,514.52 and 6,206.97 is: 8,566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,241.78 : 15,514.52 = 6,206.97 : x
  2. Step 2: Convert to fraction form
    11,241.78/15,514.52 = 6,206.97/x
  3. Step 3: Cross multiply
    11,241.78x = 15,514.52 × 6,206.97
  4. Step 4: Simplify right side
    11,241.78x = 96,298,160.20
  5. Step 5: Solve for x
    x = 96,298,160.20/11,241.78
  6. Step 6: Final answer
    x = 8,566.10

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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.