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Finding the Fourth Proportional to 11,144.69, 16,717.01 and 2,824.68

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Solution

The fourth proportional to 11,144.69, 16,717.01 and 2,824.68 is: 4,237.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.69 : 16,717.01 = 2,824.68 : x
  2. Step 2: Convert to fraction form
    11,144.69/16,717.01 = 2,824.68/x
  3. Step 3: Cross multiply
    11,144.69x = 16,717.01 × 2,824.68
  4. Step 4: Simplify right side
    11,144.69x = 47,220,252.37
  5. Step 5: Solve for x
    x = 47,220,252.37/11,144.69
  6. Step 6: Final answer
    x = 4,237.02

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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.