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Finding the Fourth Proportional to 6,211.36, 8,576.04 and 5,105.44

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Solution

The fourth proportional to 6,211.36, 8,576.04 and 5,105.44 is: 7,049.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.36 : 8,576.04 = 5,105.44 : x
  2. Step 2: Convert to fraction form
    6,211.36/8,576.04 = 5,105.44/x
  3. Step 3: Cross multiply
    6,211.36x = 8,576.04 × 5,105.44
  4. Step 4: Simplify right side
    6,211.36x = 43,784,457.66
  5. Step 5: Solve for x
    x = 43,784,457.66/6,211.36
  6. Step 6: Final answer
    x = 7,049.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.