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Finding the Fourth Proportional to 10,608.66, 15,949.44 and 8,144.64

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Solution

The fourth proportional to 10,608.66, 15,949.44 and 8,144.64 is: 12,244.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,608.66 : 15,949.44 = 8,144.64 : x
  2. Step 2: Convert to fraction form
    10,608.66/15,949.44 = 8,144.64/x
  3. Step 3: Cross multiply
    10,608.66x = 15,949.44 × 8,144.64
  4. Step 4: Simplify right side
    10,608.66x = 129,902,447.00
  5. Step 5: Solve for x
    x = 129,902,447.00/10,608.66
  6. Step 6: Final answer
    x = 12,244.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.