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Finding the Fourth Proportional to 11,769.29, 16,241.73 and 6,464.22

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Solution

The fourth proportional to 11,769.29, 16,241.73 and 6,464.22 is: 8,920.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.29 : 16,241.73 = 6,464.22 : x
  2. Step 2: Convert to fraction form
    11,769.29/16,241.73 = 6,464.22/x
  3. Step 3: Cross multiply
    11,769.29x = 16,241.73 × 6,464.22
  4. Step 4: Simplify right side
    11,769.29x = 104,990,115.90
  5. Step 5: Solve for x
    x = 104,990,115.90/11,769.29
  6. Step 6: Final answer
    x = 8,920.68

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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.