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Finding the Fourth Proportional to 7,481.27, 11,221.22 and 2,287.14

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Solution

The fourth proportional to 7,481.27, 11,221.22 and 2,287.14 is: 3,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,481.27 : 11,221.22 = 2,287.14 : x
  2. Step 2: Convert to fraction form
    7,481.27/11,221.22 = 2,287.14/x
  3. Step 3: Cross multiply
    7,481.27x = 11,221.22 × 2,287.14
  4. Step 4: Simplify right side
    7,481.27x = 25,664,506.83
  5. Step 5: Solve for x
    x = 25,664,506.83/7,481.27
  6. Step 6: Final answer
    x = 3,430.50

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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.