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Finding the Fourth Proportional to 8,189.39, 12,284.09 and 2,033.39

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Solution

The fourth proportional to 8,189.39, 12,284.09 and 2,033.39 is: 3,050.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.39 : 12,284.09 = 2,033.39 : x
  2. Step 2: Convert to fraction form
    8,189.39/12,284.09 = 2,033.39/x
  3. Step 3: Cross multiply
    8,189.39x = 12,284.09 × 2,033.39
  4. Step 4: Simplify right side
    8,189.39x = 24,978,366.31
  5. Step 5: Solve for x
    x = 24,978,366.31/8,189.39
  6. Step 6: Final answer
    x = 3,050.09

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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.