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Finding the Fourth Proportional to 8,021.81, 12,029.71 and 2,755.33

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Solution

The fourth proportional to 8,021.81, 12,029.71 and 2,755.33 is: 4,131.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.81 : 12,029.71 = 2,755.33 : x
  2. Step 2: Convert to fraction form
    8,021.81/12,029.71 = 2,755.33/x
  3. Step 3: Cross multiply
    8,021.81x = 12,029.71 × 2,755.33
  4. Step 4: Simplify right side
    8,021.81x = 33,145,820.85
  5. Step 5: Solve for x
    x = 33,145,820.85/8,021.81
  6. Step 6: Final answer
    x = 4,131.96

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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.