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Finding the Fourth Proportional to 7,937.70, 11,906.54 and 2,094.36

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Solution

The fourth proportional to 7,937.70, 11,906.54 and 2,094.36 is: 3,141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.70 : 11,906.54 = 2,094.36 : x
  2. Step 2: Convert to fraction form
    7,937.70/11,906.54 = 2,094.36/x
  3. Step 3: Cross multiply
    7,937.70x = 11,906.54 × 2,094.36
  4. Step 4: Simplify right side
    7,937.70x = 24,936,581.11
  5. Step 5: Solve for x
    x = 24,936,581.11/7,937.70
  6. Step 6: Final answer
    x = 3,141.54

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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.