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Finding the Fourth Proportional to 7,410.50, 11,121.22 and 3,514.92

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Solution

The fourth proportional to 7,410.50, 11,121.22 and 3,514.92 is: 5,274.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,410.50 : 11,121.22 = 3,514.92 : x
  2. Step 2: Convert to fraction form
    7,410.50/11,121.22 = 3,514.92/x
  3. Step 3: Cross multiply
    7,410.50x = 11,121.22 × 3,514.92
  4. Step 4: Simplify right side
    7,410.50x = 39,090,198.60
  5. Step 5: Solve for x
    x = 39,090,198.60/7,410.50
  6. Step 6: Final answer
    x = 5,274.97

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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.