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Finding the Fourth Proportional to 11,922.75, 17,889.18 and 5,996.50

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Solution

The fourth proportional to 11,922.75, 17,889.18 and 5,996.50 is: 8,997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.75 : 17,889.18 = 5,996.50 : x
  2. Step 2: Convert to fraction form
    11,922.75/17,889.18 = 5,996.50/x
  3. Step 3: Cross multiply
    11,922.75x = 17,889.18 × 5,996.50
  4. Step 4: Simplify right side
    11,922.75x = 107,272,467.87
  5. Step 5: Solve for x
    x = 107,272,467.87/11,922.75
  6. Step 6: Final answer
    x = 8,997.29

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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.