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Finding the Fourth Proportional to 11,769.57, 16,241.18 and 6,463.40

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Solution

The fourth proportional to 11,769.57, 16,241.18 and 6,463.40 is: 8,919.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.57 : 16,241.18 = 6,463.40 : x
  2. Step 2: Convert to fraction form
    11,769.57/16,241.18 = 6,463.40/x
  3. Step 3: Cross multiply
    11,769.57x = 16,241.18 × 6,463.40
  4. Step 4: Simplify right side
    11,769.57x = 104,973,129.29
  5. Step 5: Solve for x
    x = 104,973,129.29/11,769.57
  6. Step 6: Final answer
    x = 8,919.03

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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.