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Finding the Fourth Proportional to 8,326.92, 12,493.84 and 3,644.52

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Solution

The fourth proportional to 8,326.92, 12,493.84 and 3,644.52 is: 5,468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,326.92 : 12,493.84 = 3,644.52 : x
  2. Step 2: Convert to fraction form
    8,326.92/12,493.84 = 3,644.52/x
  3. Step 3: Cross multiply
    8,326.92x = 12,493.84 × 3,644.52
  4. Step 4: Simplify right side
    8,326.92x = 45,533,982.14
  5. Step 5: Solve for x
    x = 45,533,982.14/8,326.92
  6. Step 6: Final answer
    x = 5,468.29

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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.