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Finding the Fourth Proportional to 11,809.22, 16,296.84 and 6,504.20

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Solution

The fourth proportional to 11,809.22, 16,296.84 and 6,504.20 is: 8,975.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.22 : 16,296.84 = 6,504.20 : x
  2. Step 2: Convert to fraction form
    11,809.22/16,296.84 = 6,504.20/x
  3. Step 3: Cross multiply
    11,809.22x = 16,296.84 × 6,504.20
  4. Step 4: Simplify right side
    11,809.22x = 105,997,906.73
  5. Step 5: Solve for x
    x = 105,997,906.73/11,809.22
  6. Step 6: Final answer
    x = 8,975.86

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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.