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Finding the Fourth Proportional to 7,171.72, 10,757.90 and 2,241.46

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Solution

The fourth proportional to 7,171.72, 10,757.90 and 2,241.46 is: 3,362.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.72 : 10,757.90 = 2,241.46 : x
  2. Step 2: Convert to fraction form
    7,171.72/10,757.90 = 2,241.46/x
  3. Step 3: Cross multiply
    7,171.72x = 10,757.90 × 2,241.46
  4. Step 4: Simplify right side
    7,171.72x = 24,113,402.53
  5. Step 5: Solve for x
    x = 24,113,402.53/7,171.72
  6. Step 6: Final answer
    x = 3,362.29

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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.