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Finding the Fourth Proportional to 7,171.68, 10,756.48 and 2,241.20

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Solution

The fourth proportional to 7,171.68, 10,756.48 and 2,241.20 is: 3,361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.68 : 10,756.48 = 2,241.20 : x
  2. Step 2: Convert to fraction form
    7,171.68/10,756.48 = 2,241.20/x
  3. Step 3: Cross multiply
    7,171.68x = 10,756.48 × 2,241.20
  4. Step 4: Simplify right side
    7,171.68x = 24,107,422.98
  5. Step 5: Solve for x
    x = 24,107,422.98/7,171.68
  6. Step 6: Final answer
    x = 3,361.47

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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.