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Finding the Fourth Proportional to 6,896.44, 10,340.34 and 4,553.96

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Solution

The fourth proportional to 6,896.44, 10,340.34 and 4,553.96 is: 6,828.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.44 : 10,340.34 = 4,553.96 : x
  2. Step 2: Convert to fraction form
    6,896.44/10,340.34 = 4,553.96/x
  3. Step 3: Cross multiply
    6,896.44x = 10,340.34 × 4,553.96
  4. Step 4: Simplify right side
    6,896.44x = 47,089,494.75
  5. Step 5: Solve for x
    x = 47,089,494.75/6,896.44
  6. Step 6: Final answer
    x = 6,828.09

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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.