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Finding the Fourth Proportional to 11,837.37, 17,744.04 and 7,680.03

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Solution

The fourth proportional to 11,837.37, 17,744.04 and 7,680.03 is: 11,512.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837.37 : 17,744.04 = 7,680.03 : x
  2. Step 2: Convert to fraction form
    11,837.37/17,744.04 = 7,680.03/x
  3. Step 3: Cross multiply
    11,837.37x = 17,744.04 × 7,680.03
  4. Step 4: Simplify right side
    11,837.37x = 136,274,759.52
  5. Step 5: Solve for x
    x = 136,274,759.52/11,837.37
  6. Step 6: Final answer
    x = 11,512.25

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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.