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Finding the Fourth Proportional to 11,786.52, 17,680.31 and 3,889.72

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Solution

The fourth proportional to 11,786.52, 17,680.31 and 3,889.72 is: 5,834.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.52 : 17,680.31 = 3,889.72 : x
  2. Step 2: Convert to fraction form
    11,786.52/17,680.31 = 3,889.72/x
  3. Step 3: Cross multiply
    11,786.52x = 17,680.31 × 3,889.72
  4. Step 4: Simplify right side
    11,786.52x = 68,771,481.23
  5. Step 5: Solve for x
    x = 68,771,481.23/11,786.52
  6. Step 6: Final answer
    x = 5,834.76

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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.