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Finding the Fourth Proportional to 8,687.82, 11,987.16 and 4,910.78

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Solution

The fourth proportional to 8,687.82, 11,987.16 and 4,910.78 is: 6,775.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,687.82 : 11,987.16 = 4,910.78 : x
  2. Step 2: Convert to fraction form
    8,687.82/11,987.16 = 4,910.78/x
  3. Step 3: Cross multiply
    8,687.82x = 11,987.16 × 4,910.78
  4. Step 4: Simplify right side
    8,687.82x = 58,866,305.58
  5. Step 5: Solve for x
    x = 58,866,305.58/8,687.82
  6. Step 6: Final answer
    x = 6,775.73

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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.