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Finding the Fourth Proportional to 11,956.14, 17,934.03 and 5,377.68

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Solution

The fourth proportional to 11,956.14, 17,934.03 and 5,377.68 is: 8,066.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,956.14 : 17,934.03 = 5,377.68 : x
  2. Step 2: Convert to fraction form
    11,956.14/17,934.03 = 5,377.68/x
  3. Step 3: Cross multiply
    11,956.14x = 17,934.03 × 5,377.68
  4. Step 4: Simplify right side
    11,956.14x = 96,443,474.45
  5. Step 5: Solve for x
    x = 96,443,474.45/11,956.14
  6. Step 6: Final answer
    x = 8,066.44

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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.