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Finding the Fourth Proportional to 8,016.43, 12,022.82 and 3,853.84

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Solution

The fourth proportional to 8,016.43, 12,022.82 and 3,853.84 is: 5,779.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,016.43 : 12,022.82 = 3,853.84 : x
  2. Step 2: Convert to fraction form
    8,016.43/12,022.82 = 3,853.84/x
  3. Step 3: Cross multiply
    8,016.43x = 12,022.82 × 3,853.84
  4. Step 4: Simplify right side
    8,016.43x = 46,333,945.25
  5. Step 5: Solve for x
    x = 46,333,945.25/8,016.43
  6. Step 6: Final answer
    x = 5,779.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.