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Finding the Fourth Proportional to 6,846.26, 10,268.06 and 2,896.22

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Solution

The fourth proportional to 6,846.26, 10,268.06 and 2,896.22 is: 4,343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.26 : 10,268.06 = 2,896.22 : x
  2. Step 2: Convert to fraction form
    6,846.26/10,268.06 = 2,896.22/x
  3. Step 3: Cross multiply
    6,846.26x = 10,268.06 × 2,896.22
  4. Step 4: Simplify right side
    6,846.26x = 29,738,494.91
  5. Step 5: Solve for x
    x = 29,738,494.91/6,846.26
  6. Step 6: Final answer
    x = 4,343.76

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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.