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Finding the Fourth Proportional to 11,942.87, 17,889.66 and 6,997.50

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Solution

The fourth proportional to 11,942.87, 17,889.66 and 6,997.50 is: 10,481.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,942.87 : 17,889.66 = 6,997.50 : x
  2. Step 2: Convert to fraction form
    11,942.87/17,889.66 = 6,997.50/x
  3. Step 3: Cross multiply
    11,942.87x = 17,889.66 × 6,997.50
  4. Step 4: Simplify right side
    11,942.87x = 125,182,895.85
  5. Step 5: Solve for x
    x = 125,182,895.85/11,942.87
  6. Step 6: Final answer
    x = 10,481.81

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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.