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Finding the Fourth Proportional to 11,881.56, 17,824.50 and 3,983.32

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Solution

The fourth proportional to 11,881.56, 17,824.50 and 3,983.32 is: 5,975.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.56 : 17,824.50 = 3,983.32 : x
  2. Step 2: Convert to fraction form
    11,881.56/17,824.50 = 3,983.32/x
  3. Step 3: Cross multiply
    11,881.56x = 17,824.50 × 3,983.32
  4. Step 4: Simplify right side
    11,881.56x = 71,000,687.34
  5. Step 5: Solve for x
    x = 71,000,687.34/11,881.56
  6. Step 6: Final answer
    x = 5,975.70

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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.