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Finding the Fourth Proportional to 11,993.86, 17,990.67 and 4,096.29

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Solution

The fourth proportional to 11,993.86, 17,990.67 and 4,096.29 is: 6,144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.86 : 17,990.67 = 4,096.29 : x
  2. Step 2: Convert to fraction form
    11,993.86/17,990.67 = 4,096.29/x
  3. Step 3: Cross multiply
    11,993.86x = 17,990.67 × 4,096.29
  4. Step 4: Simplify right side
    11,993.86x = 73,694,946.40
  5. Step 5: Solve for x
    x = 73,694,946.40/11,993.86
  6. Step 6: Final answer
    x = 6,144.39

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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.