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Finding the Fourth Proportional to 11,984.20, 17,984.30 and 4,193

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Solution

The fourth proportional to 11,984.20, 17,984.30 and 4,193 is: 6,292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,984.20 : 17,984.30 = 4,193 : x
  2. Step 2: Convert to fraction form
    11,984.20/17,984.30 = 4,193/x
  3. Step 3: Cross multiply
    11,984.20x = 17,984.30 × 4,193
  4. Step 4: Simplify right side
    11,984.20x = 75,408,169.90
  5. Step 5: Solve for x
    x = 75,408,169.90/11,984.20
  6. Step 6: Final answer
    x = 6,292.30

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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.