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Finding the Fourth Proportional to 7,496.42, 11,241.11 and 2,229.48

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Solution

The fourth proportional to 7,496.42, 11,241.11 and 2,229.48 is: 3,343.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.42 : 11,241.11 = 2,229.48 : x
  2. Step 2: Convert to fraction form
    7,496.42/11,241.11 = 2,229.48/x
  3. Step 3: Cross multiply
    7,496.42x = 11,241.11 × 2,229.48
  4. Step 4: Simplify right side
    7,496.42x = 25,061,835.50
  5. Step 5: Solve for x
    x = 25,061,835.50/7,496.42
  6. Step 6: Final answer
    x = 3,343.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.