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Finding the Fourth Proportional to 7,886.92, 11,832 and 2,956.54

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Solution

The fourth proportional to 7,886.92, 11,832 and 2,956.54 is: 4,435.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.92 : 11,832 = 2,956.54 : x
  2. Step 2: Convert to fraction form
    7,886.92/11,832 = 2,956.54/x
  3. Step 3: Cross multiply
    7,886.92x = 11,832 × 2,956.54
  4. Step 4: Simplify right side
    7,886.92x = 34,981,781.28
  5. Step 5: Solve for x
    x = 34,981,781.28/7,886.92
  6. Step 6: Final answer
    x = 4,435.42

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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.