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Finding the Fourth Proportional to 8,137.20, 12,205.80 and 4,241.10

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Solution

The fourth proportional to 8,137.20, 12,205.80 and 4,241.10 is: 6,361.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.20 : 12,205.80 = 4,241.10 : x
  2. Step 2: Convert to fraction form
    8,137.20/12,205.80 = 4,241.10/x
  3. Step 3: Cross multiply
    8,137.20x = 12,205.80 × 4,241.10
  4. Step 4: Simplify right side
    8,137.20x = 51,766,018.38
  5. Step 5: Solve for x
    x = 51,766,018.38/8,137.20
  6. Step 6: Final answer
    x = 6,361.65

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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.