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Finding the Fourth Proportional to 11,626.25, 16,044.39 and 6,321.08

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Solution

The fourth proportional to 11,626.25, 16,044.39 and 6,321.08 is: 8,723.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626.25 : 16,044.39 = 6,321.08 : x
  2. Step 2: Convert to fraction form
    11,626.25/16,044.39 = 6,321.08/x
  3. Step 3: Cross multiply
    11,626.25x = 16,044.39 × 6,321.08
  4. Step 4: Simplify right side
    11,626.25x = 101,417,872.74
  5. Step 5: Solve for x
    x = 101,417,872.74/11,626.25
  6. Step 6: Final answer
    x = 8,723.18

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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.