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Finding the Fourth Proportional to 11,857.14, 17,773.56 and 4,456.44

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Solution

The fourth proportional to 11,857.14, 17,773.56 and 4,456.44 is: 6,680.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.14 : 17,773.56 = 4,456.44 : x
  2. Step 2: Convert to fraction form
    11,857.14/17,773.56 = 4,456.44/x
  3. Step 3: Cross multiply
    11,857.14x = 17,773.56 × 4,456.44
  4. Step 4: Simplify right side
    11,857.14x = 79,206,803.73
  5. Step 5: Solve for x
    x = 79,206,803.73/11,857.14
  6. Step 6: Final answer
    x = 6,680.09

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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.