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Finding the Fourth Proportional to 7,996.34, 11,993.61 and 2,153.42

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Solution

The fourth proportional to 7,996.34, 11,993.61 and 2,153.42 is: 3,229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996.34 : 11,993.61 = 2,153.42 : x
  2. Step 2: Convert to fraction form
    7,996.34/11,993.61 = 2,153.42/x
  3. Step 3: Cross multiply
    7,996.34x = 11,993.61 × 2,153.42
  4. Step 4: Simplify right side
    7,996.34x = 25,827,279.65
  5. Step 5: Solve for x
    x = 25,827,279.65/7,996.34
  6. Step 6: Final answer
    x = 3,229.89

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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.