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Finding the Fourth Proportional to 8,200.69, 12,305.05 and 3,519.31

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Solution

The fourth proportional to 8,200.69, 12,305.05 and 3,519.31 is: 5,280.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.69 : 12,305.05 = 3,519.31 : x
  2. Step 2: Convert to fraction form
    8,200.69/12,305.05 = 3,519.31/x
  3. Step 3: Cross multiply
    8,200.69x = 12,305.05 × 3,519.31
  4. Step 4: Simplify right side
    8,200.69x = 43,305,285.52
  5. Step 5: Solve for x
    x = 43,305,285.52/8,200.69
  6. Step 6: Final answer
    x = 5,280.69

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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.