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Finding the Fourth Proportional to 11,657.73, 16,087.26 and 6,352.44

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Solution

The fourth proportional to 11,657.73, 16,087.26 and 6,352.44 is: 8,766.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.73 : 16,087.26 = 6,352.44 : x
  2. Step 2: Convert to fraction form
    11,657.73/16,087.26 = 6,352.44/x
  3. Step 3: Cross multiply
    11,657.73x = 16,087.26 × 6,352.44
  4. Step 4: Simplify right side
    11,657.73x = 102,193,353.91
  5. Step 5: Solve for x
    x = 102,193,353.91/11,657.73
  6. Step 6: Final answer
    x = 8,766.15

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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.