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Finding the Fourth Proportional to 8,015.68, 12,021.69 and 3,853.09

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Solution

The fourth proportional to 8,015.68, 12,021.69 and 3,853.09 is: 5,778.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,015.68 : 12,021.69 = 3,853.09 : x
  2. Step 2: Convert to fraction form
    8,015.68/12,021.69 = 3,853.09/x
  3. Step 3: Cross multiply
    8,015.68x = 12,021.69 × 3,853.09
  4. Step 4: Simplify right side
    8,015.68x = 46,320,593.41
  5. Step 5: Solve for x
    x = 46,320,593.41/8,015.68
  6. Step 6: Final answer
    x = 5,778.75

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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.