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Finding the Fourth Proportional to 11,769.66, 16,241.99 and 6,464.34

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Solution

The fourth proportional to 11,769.66, 16,241.99 and 6,464.34 is: 8,920.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.66 : 16,241.99 = 6,464.34 : x
  2. Step 2: Convert to fraction form
    11,769.66/16,241.99 = 6,464.34/x
  3. Step 3: Cross multiply
    11,769.66x = 16,241.99 × 6,464.34
  4. Step 4: Simplify right side
    11,769.66x = 104,993,713.31
  5. Step 5: Solve for x
    x = 104,993,713.31/11,769.66
  6. Step 6: Final answer
    x = 8,920.71

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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.