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Finding the Fourth Proportional to 11,872.98, 17,801.19 and 7,194.20

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Solution

The fourth proportional to 11,872.98, 17,801.19 and 7,194.20 is: 10,786.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.98 : 17,801.19 = 7,194.20 : x
  2. Step 2: Convert to fraction form
    11,872.98/17,801.19 = 7,194.20/x
  3. Step 3: Cross multiply
    11,872.98x = 17,801.19 × 7,194.20
  4. Step 4: Simplify right side
    11,872.98x = 128,065,232.09
  5. Step 5: Solve for x
    x = 128,065,232.09/11,872.98
  6. Step 6: Final answer
    x = 10,786.28

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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.