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Finding the Fourth Proportional to 8,253.62, 12,380.31 and 3,323.13

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Solution

The fourth proportional to 8,253.62, 12,380.31 and 3,323.13 is: 4,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.62 : 12,380.31 = 3,323.13 : x
  2. Step 2: Convert to fraction form
    8,253.62/12,380.31 = 3,323.13/x
  3. Step 3: Cross multiply
    8,253.62x = 12,380.31 × 3,323.13
  4. Step 4: Simplify right side
    8,253.62x = 41,141,437.60
  5. Step 5: Solve for x
    x = 41,141,437.60/8,253.62
  6. Step 6: Final answer
    x = 4,984.65

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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.