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Finding the Fourth Proportional to 7,790.57, 11,676.13 and 3,896.09

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Solution

The fourth proportional to 7,790.57, 11,676.13 and 3,896.09 is: 5,839.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.57 : 11,676.13 = 3,896.09 : x
  2. Step 2: Convert to fraction form
    7,790.57/11,676.13 = 3,896.09/x
  3. Step 3: Cross multiply
    7,790.57x = 11,676.13 × 3,896.09
  4. Step 4: Simplify right side
    7,790.57x = 45,491,175.47
  5. Step 5: Solve for x
    x = 45,491,175.47/7,790.57
  6. Step 6: Final answer
    x = 5,839.27

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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.