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Finding the Fourth Proportional to 11,634.98, 17,449.43 and 7,936.52

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Solution

The fourth proportional to 11,634.98, 17,449.43 and 7,936.52 is: 11,902.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.98 : 17,449.43 = 7,936.52 : x
  2. Step 2: Convert to fraction form
    11,634.98/17,449.43 = 7,936.52/x
  3. Step 3: Cross multiply
    11,634.98x = 17,449.43 × 7,936.52
  4. Step 4: Simplify right side
    11,634.98x = 138,487,623.25
  5. Step 5: Solve for x
    x = 138,487,623.25/11,634.98
  6. Step 6: Final answer
    x = 11,902.70

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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.