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Finding the Fourth Proportional to 6,858.56, 10,288.80 and 2,241.44

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Solution

The fourth proportional to 6,858.56, 10,288.80 and 2,241.44 is: 3,362.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.56 : 10,288.80 = 2,241.44 : x
  2. Step 2: Convert to fraction form
    6,858.56/10,288.80 = 2,241.44/x
  3. Step 3: Cross multiply
    6,858.56x = 10,288.80 × 2,241.44
  4. Step 4: Simplify right side
    6,858.56x = 23,061,727.87
  5. Step 5: Solve for x
    x = 23,061,727.87/6,858.56
  6. Step 6: Final answer
    x = 3,362.47

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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.