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Finding the Fourth Proportional to 11,676.82, 17,513.07 and 3,883.54

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Solution

The fourth proportional to 11,676.82, 17,513.07 and 3,883.54 is: 5,824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.82 : 17,513.07 = 3,883.54 : x
  2. Step 2: Convert to fraction form
    11,676.82/17,513.07 = 3,883.54/x
  3. Step 3: Cross multiply
    11,676.82x = 17,513.07 × 3,883.54
  4. Step 4: Simplify right side
    11,676.82x = 68,012,707.87
  5. Step 5: Solve for x
    x = 68,012,707.87/11,676.82
  6. Step 6: Final answer
    x = 5,824.59

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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.