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Finding the Fourth Proportional to 11,514.06, 15,872.49 and 8,146.49

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Solution

The fourth proportional to 11,514.06, 15,872.49 and 8,146.49 is: 11,230.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514.06 : 15,872.49 = 8,146.49 : x
  2. Step 2: Convert to fraction form
    11,514.06/15,872.49 = 8,146.49/x
  3. Step 3: Cross multiply
    11,514.06x = 15,872.49 × 8,146.49
  4. Step 4: Simplify right side
    11,514.06x = 129,305,001.70
  5. Step 5: Solve for x
    x = 129,305,001.70/11,514.06
  6. Step 6: Final answer
    x = 11,230.18

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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.