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Finding the Fourth Proportional to 10,979.63, 16,469.42 and 3,188.44

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Solution

The fourth proportional to 10,979.63, 16,469.42 and 3,188.44 is: 4,782.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,979.63 : 16,469.42 = 3,188.44 : x
  2. Step 2: Convert to fraction form
    10,979.63/16,469.42 = 3,188.44/x
  3. Step 3: Cross multiply
    10,979.63x = 16,469.42 × 3,188.44
  4. Step 4: Simplify right side
    10,979.63x = 52,511,757.50
  5. Step 5: Solve for x
    x = 52,511,757.50/10,979.63
  6. Step 6: Final answer
    x = 4,782.65

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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.