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Finding the Fourth Proportional to 11,236.02, 16,828.52 and 6,843.80

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Solution

The fourth proportional to 11,236.02, 16,828.52 and 6,843.80 is: 10,250.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,236.02 : 16,828.52 = 6,843.80 : x
  2. Step 2: Convert to fraction form
    11,236.02/16,828.52 = 6,843.80/x
  3. Step 3: Cross multiply
    11,236.02x = 16,828.52 × 6,843.80
  4. Step 4: Simplify right side
    11,236.02x = 115,170,906.81
  5. Step 5: Solve for x
    x = 115,170,906.81/11,236.02
  6. Step 6: Final answer
    x = 10,250.15

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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.