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Finding the Fourth Proportional to 8,201.69, 12,306.54 and 3,520.31

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Solution

The fourth proportional to 8,201.69, 12,306.54 and 3,520.31 is: 5,282.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.69 : 12,306.54 = 3,520.31 : x
  2. Step 2: Convert to fraction form
    8,201.69/12,306.54 = 3,520.31/x
  3. Step 3: Cross multiply
    8,201.69x = 12,306.54 × 3,520.31
  4. Step 4: Simplify right side
    8,201.69x = 43,322,774.29
  5. Step 5: Solve for x
    x = 43,322,774.29/8,201.69
  6. Step 6: Final answer
    x = 5,282.18

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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.