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Finding the Fourth Proportional to 11,205.88, 15,463.82 and 6,170.20

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Solution

The fourth proportional to 11,205.88, 15,463.82 and 6,170.20 is: 8,514.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.88 : 15,463.82 = 6,170.20 : x
  2. Step 2: Convert to fraction form
    11,205.88/15,463.82 = 6,170.20/x
  3. Step 3: Cross multiply
    11,205.88x = 15,463.82 × 6,170.20
  4. Step 4: Simplify right side
    11,205.88x = 95,414,862.16
  5. Step 5: Solve for x
    x = 95,414,862.16/11,205.88
  6. Step 6: Final answer
    x = 8,514.71

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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.