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Finding the Fourth Proportional to 8,240.36, 11,372 and 4,514.36

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Solution

The fourth proportional to 8,240.36, 11,372 and 4,514.36 is: 6,229.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,240.36 : 11,372 = 4,514.36 : x
  2. Step 2: Convert to fraction form
    8,240.36/11,372 = 4,514.36/x
  3. Step 3: Cross multiply
    8,240.36x = 11,372 × 4,514.36
  4. Step 4: Simplify right side
    8,240.36x = 51,337,301.92
  5. Step 5: Solve for x
    x = 51,337,301.92/8,240.36
  6. Step 6: Final answer
    x = 6,229.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.