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Finding the Fourth Proportional to 8,220.75, 12,332.70 and 3,540.75

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Solution

The fourth proportional to 8,220.75, 12,332.70 and 3,540.75 is: 5,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.75 : 12,332.70 = 3,540.75 : x
  2. Step 2: Convert to fraction form
    8,220.75/12,332.70 = 3,540.75/x
  3. Step 3: Cross multiply
    8,220.75x = 12,332.70 × 3,540.75
  4. Step 4: Simplify right side
    8,220.75x = 43,667,007.53
  5. Step 5: Solve for x
    x = 43,667,007.53/8,220.75
  6. Step 6: Final answer
    x = 5,311.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.