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Finding the Fourth Proportional to 6,519.36, 9,778.92 and 5,424.48

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Solution

The fourth proportional to 6,519.36, 9,778.92 and 5,424.48 is: 8,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.36 : 9,778.92 = 5,424.48 : x
  2. Step 2: Convert to fraction form
    6,519.36/9,778.92 = 5,424.48/x
  3. Step 3: Cross multiply
    6,519.36x = 9,778.92 × 5,424.48
  4. Step 4: Simplify right side
    6,519.36x = 53,045,555.96
  5. Step 5: Solve for x
    x = 53,045,555.96/6,519.36
  6. Step 6: Final answer
    x = 8,136.62

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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.