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Finding the Fourth Proportional to 6,736.50, 10,103.94 and 1,805.76

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Solution

The fourth proportional to 6,736.50, 10,103.94 and 1,805.76 is: 2,708.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.50 : 10,103.94 = 1,805.76 : x
  2. Step 2: Convert to fraction form
    6,736.50/10,103.94 = 1,805.76/x
  3. Step 3: Cross multiply
    6,736.50x = 10,103.94 × 1,805.76
  4. Step 4: Simplify right side
    6,736.50x = 18,245,290.69
  5. Step 5: Solve for x
    x = 18,245,290.69/6,736.50
  6. Step 6: Final answer
    x = 2,708.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.