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Finding the Fourth Proportional to 8,215.62, 12,323.49 and 3,286.50

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Solution

The fourth proportional to 8,215.62, 12,323.49 and 3,286.50 is: 4,929.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.62 : 12,323.49 = 3,286.50 : x
  2. Step 2: Convert to fraction form
    8,215.62/12,323.49 = 3,286.50/x
  3. Step 3: Cross multiply
    8,215.62x = 12,323.49 × 3,286.50
  4. Step 4: Simplify right side
    8,215.62x = 40,501,149.89
  5. Step 5: Solve for x
    x = 40,501,149.89/8,215.62
  6. Step 6: Final answer
    x = 4,929.77

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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.