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Finding the Fourth Proportional to 11,983.44, 17,982.84 and 5,824.08

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Solution

The fourth proportional to 11,983.44, 17,982.84 and 5,824.08 is: 8,739.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,983.44 : 17,982.84 = 5,824.08 : x
  2. Step 2: Convert to fraction form
    11,983.44/17,982.84 = 5,824.08/x
  3. Step 3: Cross multiply
    11,983.44x = 17,982.84 × 5,824.08
  4. Step 4: Simplify right side
    11,983.44x = 104,733,498.79
  5. Step 5: Solve for x
    x = 104,733,498.79/11,983.44
  6. Step 6: Final answer
    x = 8,739.85

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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.