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Finding the Fourth Proportional to 11,511.99, 17,230.85 and 5,957.70

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Solution

The fourth proportional to 11,511.99, 17,230.85 and 5,957.70 is: 8,917.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511.99 : 17,230.85 = 5,957.70 : x
  2. Step 2: Convert to fraction form
    11,511.99/17,230.85 = 5,957.70/x
  3. Step 3: Cross multiply
    11,511.99x = 17,230.85 × 5,957.70
  4. Step 4: Simplify right side
    11,511.99x = 102,656,205.26
  5. Step 5: Solve for x
    x = 102,656,205.26/11,511.99
  6. Step 6: Final answer
    x = 8,917.33

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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.