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Finding the Fourth Proportional to 11,757.26, 16,224.38 and 6,451.66

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Solution

The fourth proportional to 11,757.26, 16,224.38 and 6,451.66 is: 8,902.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.26 : 16,224.38 = 6,451.66 : x
  2. Step 2: Convert to fraction form
    11,757.26/16,224.38 = 6,451.66/x
  3. Step 3: Cross multiply
    11,757.26x = 16,224.38 × 6,451.66
  4. Step 4: Simplify right side
    11,757.26x = 104,674,110.65
  5. Step 5: Solve for x
    x = 104,674,110.65/11,757.26
  6. Step 6: Final answer
    x = 8,902.93

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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.