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Finding the Fourth Proportional to 8,091.58, 12,142.09 and 3,411.30

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Solution

The fourth proportional to 8,091.58, 12,142.09 and 3,411.30 is: 5,118.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.58 : 12,142.09 = 3,411.30 : x
  2. Step 2: Convert to fraction form
    8,091.58/12,142.09 = 3,411.30/x
  3. Step 3: Cross multiply
    8,091.58x = 12,142.09 × 3,411.30
  4. Step 4: Simplify right side
    8,091.58x = 41,420,311.62
  5. Step 5: Solve for x
    x = 41,420,311.62/8,091.58
  6. Step 6: Final answer
    x = 5,118.94

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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.