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Finding the Fourth Proportional to 11,616.67, 17,407.99 and 5,761.59

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Solution

The fourth proportional to 11,616.67, 17,407.99 and 5,761.59 is: 8,633.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.67 : 17,407.99 = 5,761.59 : x
  2. Step 2: Convert to fraction form
    11,616.67/17,407.99 = 5,761.59/x
  3. Step 3: Cross multiply
    11,616.67x = 17,407.99 × 5,761.59
  4. Step 4: Simplify right side
    11,616.67x = 100,297,701.10
  5. Step 5: Solve for x
    x = 100,297,701.10/11,616.67
  6. Step 6: Final answer
    x = 8,633.95

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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.