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Finding the Fourth Proportional to 6,891.36, 10,338.89 and 2,509.49

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Solution

The fourth proportional to 6,891.36, 10,338.89 and 2,509.49 is: 3,764.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.36 : 10,338.89 = 2,509.49 : x
  2. Step 2: Convert to fraction form
    6,891.36/10,338.89 = 2,509.49/x
  3. Step 3: Cross multiply
    6,891.36x = 10,338.89 × 2,509.49
  4. Step 4: Simplify right side
    6,891.36x = 25,945,276.82
  5. Step 5: Solve for x
    x = 25,945,276.82/6,891.36
  6. Step 6: Final answer
    x = 3,764.90

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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.