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Finding the Fourth Proportional to 11,675.82, 17,511.57 and 3,882.54

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Solution

The fourth proportional to 11,675.82, 17,511.57 and 3,882.54 is: 5,823.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,675.82 : 17,511.57 = 3,882.54 : x
  2. Step 2: Convert to fraction form
    11,675.82/17,511.57 = 3,882.54/x
  3. Step 3: Cross multiply
    11,675.82x = 17,511.57 × 3,882.54
  4. Step 4: Simplify right side
    11,675.82x = 67,989,370.99
  5. Step 5: Solve for x
    x = 67,989,370.99/11,675.82
  6. Step 6: Final answer
    x = 5,823.09

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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.