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Finding the Fourth Proportional to 8,125.99, 11,212.22 and 4,941

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Solution

The fourth proportional to 8,125.99, 11,212.22 and 4,941 is: 6,817.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.99 : 11,212.22 = 4,941 : x
  2. Step 2: Convert to fraction form
    8,125.99/11,212.22 = 4,941/x
  3. Step 3: Cross multiply
    8,125.99x = 11,212.22 × 4,941
  4. Step 4: Simplify right side
    8,125.99x = 55,399,591.37
  5. Step 5: Solve for x
    x = 55,399,591.37/8,125.99
  6. Step 6: Final answer
    x = 6,817.58

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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.