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Finding the Fourth Proportional to 8,221.38, 12,323.84 and 3,543.36

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Solution

The fourth proportional to 8,221.38, 12,323.84 and 3,543.36 is: 5,311.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.38 : 12,323.84 = 3,543.36 : x
  2. Step 2: Convert to fraction form
    8,221.38/12,323.84 = 3,543.36/x
  3. Step 3: Cross multiply
    8,221.38x = 12,323.84 × 3,543.36
  4. Step 4: Simplify right side
    8,221.38x = 43,667,783.99
  5. Step 5: Solve for x
    x = 43,667,783.99/8,221.38
  6. Step 6: Final answer
    x = 5,311.49

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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.