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Finding the Fourth Proportional to 8,133.97, 12,198.21 and 2,289.19

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Solution

The fourth proportional to 8,133.97, 12,198.21 and 2,289.19 is: 3,433.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.97 : 12,198.21 = 2,289.19 : x
  2. Step 2: Convert to fraction form
    8,133.97/12,198.21 = 2,289.19/x
  3. Step 3: Cross multiply
    8,133.97x = 12,198.21 × 2,289.19
  4. Step 4: Simplify right side
    8,133.97x = 27,924,020.35
  5. Step 5: Solve for x
    x = 27,924,020.35/8,133.97
  6. Step 6: Final answer
    x = 3,433.01

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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.