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Finding the Fourth Proportional to 7,937.43, 11,906.73 and 2,094

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Solution

The fourth proportional to 7,937.43, 11,906.73 and 2,094 is: 3,141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.43 : 11,906.73 = 2,094 : x
  2. Step 2: Convert to fraction form
    7,937.43/11,906.73 = 2,094/x
  3. Step 3: Cross multiply
    7,937.43x = 11,906.73 × 2,094
  4. Step 4: Simplify right side
    7,937.43x = 24,932,692.62
  5. Step 5: Solve for x
    x = 24,932,692.62/7,937.43
  6. Step 6: Final answer
    x = 3,141.15

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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.