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Finding the Fourth Proportional to 8,022.18, 12,039.74 and 3,408.42

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Solution

The fourth proportional to 8,022.18, 12,039.74 and 3,408.42 is: 5,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.18 : 12,039.74 = 3,408.42 : x
  2. Step 2: Convert to fraction form
    8,022.18/12,039.74 = 3,408.42/x
  3. Step 3: Cross multiply
    8,022.18x = 12,039.74 × 3,408.42
  4. Step 4: Simplify right side
    8,022.18x = 41,036,490.61
  5. Step 5: Solve for x
    x = 41,036,490.61/8,022.18
  6. Step 6: Final answer
    x = 5,115.38

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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.