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Finding the Fourth Proportional to 11,956.60, 17,933.46 and 3,192.22

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Solution

The fourth proportional to 11,956.60, 17,933.46 and 3,192.22 is: 4,787.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,956.60 : 17,933.46 = 3,192.22 : x
  2. Step 2: Convert to fraction form
    11,956.60/17,933.46 = 3,192.22/x
  3. Step 3: Cross multiply
    11,956.60x = 17,933.46 × 3,192.22
  4. Step 4: Simplify right side
    11,956.60x = 57,247,549.68
  5. Step 5: Solve for x
    x = 57,247,549.68/11,956.60
  6. Step 6: Final answer
    x = 4,787.95

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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.