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Finding the Fourth Proportional to 6,858.72, 10,286.84 and 2,241.72

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Solution

The fourth proportional to 6,858.72, 10,286.84 and 2,241.72 is: 3,362.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.72 : 10,286.84 = 2,241.72 : x
  2. Step 2: Convert to fraction form
    6,858.72/10,286.84 = 2,241.72/x
  3. Step 3: Cross multiply
    6,858.72x = 10,286.84 × 2,241.72
  4. Step 4: Simplify right side
    6,858.72x = 23,060,214.96
  5. Step 5: Solve for x
    x = 23,060,214.96/6,858.72
  6. Step 6: Final answer
    x = 3,362.17

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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.