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Finding the Fourth Proportional to 12,073.92, 18,107.04 and 3,864

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Solution

The fourth proportional to 12,073.92, 18,107.04 and 3,864 is: 5,794.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,073.92 : 18,107.04 = 3,864 : x
  2. Step 2: Convert to fraction form
    12,073.92/18,107.04 = 3,864/x
  3. Step 3: Cross multiply
    12,073.92x = 18,107.04 × 3,864
  4. Step 4: Simplify right side
    12,073.92x = 69,965,602.56
  5. Step 5: Solve for x
    x = 69,965,602.56/12,073.92
  6. Step 6: Final answer
    x = 5,794.77

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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.