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Finding the Fourth Proportional to 7,996.16, 11,993.84 and 2,801.63

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Solution

The fourth proportional to 7,996.16, 11,993.84 and 2,801.63 is: 4,202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996.16 : 11,993.84 = 2,801.63 : x
  2. Step 2: Convert to fraction form
    7,996.16/11,993.84 = 2,801.63/x
  3. Step 3: Cross multiply
    7,996.16x = 11,993.84 × 2,801.63
  4. Step 4: Simplify right side
    7,996.16x = 33,602,287.95
  5. Step 5: Solve for x
    x = 33,602,287.95/7,996.16
  6. Step 6: Final answer
    x = 4,202.30

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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.