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Finding the Fourth Proportional to 7,286.83, 10,936.07 and 3,777.83

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Solution

The fourth proportional to 7,286.83, 10,936.07 and 3,777.83 is: 5,669.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.83 : 10,936.07 = 3,777.83 : x
  2. Step 2: Convert to fraction form
    7,286.83/10,936.07 = 3,777.83/x
  3. Step 3: Cross multiply
    7,286.83x = 10,936.07 × 3,777.83
  4. Step 4: Simplify right side
    7,286.83x = 41,314,605.00
  5. Step 5: Solve for x
    x = 41,314,605.00/7,286.83
  6. Step 6: Final answer
    x = 5,669.77

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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.