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Finding the Fourth Proportional to 11,626.52, 16,044.50 and 6,321.32

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Solution

The fourth proportional to 11,626.52, 16,044.50 and 6,321.32 is: 8,723.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626.52 : 16,044.50 = 6,321.32 : x
  2. Step 2: Convert to fraction form
    11,626.52/16,044.50 = 6,321.32/x
  3. Step 3: Cross multiply
    11,626.52x = 16,044.50 × 6,321.32
  4. Step 4: Simplify right side
    11,626.52x = 101,422,306.91
  5. Step 5: Solve for x
    x = 101,422,306.91/11,626.52
  6. Step 6: Final answer
    x = 8,723.36

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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.