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Finding the Fourth Proportional to 8,200.20, 12,332.70 and 7,357.80

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Solution

The fourth proportional to 8,200.20, 12,332.70 and 7,357.80 is: 11,065.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.20 : 12,332.70 = 7,357.80 : x
  2. Step 2: Convert to fraction form
    8,200.20/12,332.70 = 7,357.80/x
  3. Step 3: Cross multiply
    8,200.20x = 12,332.70 × 7,357.80
  4. Step 4: Simplify right side
    8,200.20x = 90,741,540.06
  5. Step 5: Solve for x
    x = 90,741,540.06/8,200.20
  6. Step 6: Final answer
    x = 11,065.77

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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.