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Finding the Fourth Proportional to 8,071.89, 12,108.43 and 2,228.44

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Solution

The fourth proportional to 8,071.89, 12,108.43 and 2,228.44 is: 3,342.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.89 : 12,108.43 = 2,228.44 : x
  2. Step 2: Convert to fraction form
    8,071.89/12,108.43 = 2,228.44/x
  3. Step 3: Cross multiply
    8,071.89x = 12,108.43 × 2,228.44
  4. Step 4: Simplify right side
    8,071.89x = 26,982,909.75
  5. Step 5: Solve for x
    x = 26,982,909.75/8,071.89
  6. Step 6: Final answer
    x = 3,342.82

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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.