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Finding the Fourth Proportional to 10,236.37, 14,064.97 and 8,136.85

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Solution

The fourth proportional to 10,236.37, 14,064.97 and 8,136.85 is: 11,180.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,236.37 : 14,064.97 = 8,136.85 : x
  2. Step 2: Convert to fraction form
    10,236.37/14,064.97 = 8,136.85/x
  3. Step 3: Cross multiply
    10,236.37x = 14,064.97 × 8,136.85
  4. Step 4: Simplify right side
    10,236.37x = 114,444,551.14
  5. Step 5: Solve for x
    x = 114,444,551.14/10,236.37
  6. Step 6: Final answer
    x = 11,180.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.