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Finding the Fourth Proportional to 8,132.48, 12,202.82 and 3,205.65

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Solution

The fourth proportional to 8,132.48, 12,202.82 and 3,205.65 is: 4,810.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.48 : 12,202.82 = 3,205.65 : x
  2. Step 2: Convert to fraction form
    8,132.48/12,202.82 = 3,205.65/x
  3. Step 3: Cross multiply
    8,132.48x = 12,202.82 × 3,205.65
  4. Step 4: Simplify right side
    8,132.48x = 39,117,969.93
  5. Step 5: Solve for x
    x = 39,117,969.93/8,132.48
  6. Step 6: Final answer
    x = 4,810.09

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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.