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Finding the Fourth Proportional to 7,958.06, 11,942.57 and 2,763.94

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Solution

The fourth proportional to 7,958.06, 11,942.57 and 2,763.94 is: 4,147.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958.06 : 11,942.57 = 2,763.94 : x
  2. Step 2: Convert to fraction form
    7,958.06/11,942.57 = 2,763.94/x
  3. Step 3: Cross multiply
    7,958.06x = 11,942.57 × 2,763.94
  4. Step 4: Simplify right side
    7,958.06x = 33,008,546.93
  5. Step 5: Solve for x
    x = 33,008,546.93/7,958.06
  6. Step 6: Final answer
    x = 4,147.81

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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.