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Finding the Fourth Proportional to 6,519.93, 9,778.83 and 1,840.26

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Solution

The fourth proportional to 6,519.93, 9,778.83 and 1,840.26 is: 2,760.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.93 : 9,778.83 = 1,840.26 : x
  2. Step 2: Convert to fraction form
    6,519.93/9,778.83 = 1,840.26/x
  3. Step 3: Cross multiply
    6,519.93x = 9,778.83 × 1,840.26
  4. Step 4: Simplify right side
    6,519.93x = 17,995,589.70
  5. Step 5: Solve for x
    x = 17,995,589.70/6,519.93
  6. Step 6: Final answer
    x = 2,760.09

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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.