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Finding the Fourth Proportional to 11,699.37, 17,561.20 and 6,778.62

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Solution

The fourth proportional to 11,699.37, 17,561.20 and 6,778.62 is: 10,174.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.37 : 17,561.20 = 6,778.62 : x
  2. Step 2: Convert to fraction form
    11,699.37/17,561.20 = 6,778.62/x
  3. Step 3: Cross multiply
    11,699.37x = 17,561.20 × 6,778.62
  4. Step 4: Simplify right side
    11,699.37x = 119,040,701.54
  5. Step 5: Solve for x
    x = 119,040,701.54/11,699.37
  6. Step 6: Final answer
    x = 10,174.97

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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.