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Finding the Fourth Proportional to 8,481.60, 12,723.60 and 3,288

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Solution

The fourth proportional to 8,481.60, 12,723.60 and 3,288 is: 4,932.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,481.60 : 12,723.60 = 3,288 : x
  2. Step 2: Convert to fraction form
    8,481.60/12,723.60 = 3,288/x
  3. Step 3: Cross multiply
    8,481.60x = 12,723.60 × 3,288
  4. Step 4: Simplify right side
    8,481.60x = 41,835,196.80
  5. Step 5: Solve for x
    x = 41,835,196.80/8,481.60
  6. Step 6: Final answer
    x = 4,932.47

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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.