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Finding the Fourth Proportional to 7,956, 11,934 and 2,112.66

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Solution

The fourth proportional to 7,956, 11,934 and 2,112.66 is: 3,168.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,956 : 11,934 = 2,112.66 : x
  2. Step 2: Convert to fraction form
    7,956/11,934 = 2,112.66/x
  3. Step 3: Cross multiply
    7,956x = 11,934 × 2,112.66
  4. Step 4: Simplify right side
    7,956x = 25,212,484.44
  5. Step 5: Solve for x
    x = 25,212,484.44/7,956
  6. Step 6: Final answer
    x = 3,168.99

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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.