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Finding the Fourth Proportional to 11,799.50, 16,283.67 and 6,493.82

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Solution

The fourth proportional to 11,799.50, 16,283.67 and 6,493.82 is: 8,961.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,799.50 : 16,283.67 = 6,493.82 : x
  2. Step 2: Convert to fraction form
    11,799.50/16,283.67 = 6,493.82/x
  3. Step 3: Cross multiply
    11,799.50x = 16,283.67 × 6,493.82
  4. Step 4: Simplify right side
    11,799.50x = 105,743,221.92
  5. Step 5: Solve for x
    x = 105,743,221.92/11,799.50
  6. Step 6: Final answer
    x = 8,961.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.