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Finding the Fourth Proportional to 11,769.49, 16,242.89 and 6,465.41

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Solution

The fourth proportional to 11,769.49, 16,242.89 and 6,465.41 is: 8,922.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.49 : 16,242.89 = 6,465.41 : x
  2. Step 2: Convert to fraction form
    11,769.49/16,242.89 = 6,465.41/x
  3. Step 3: Cross multiply
    11,769.49x = 16,242.89 × 6,465.41
  4. Step 4: Simplify right side
    11,769.49x = 105,016,918.99
  5. Step 5: Solve for x
    x = 105,016,918.99/11,769.49
  6. Step 6: Final answer
    x = 8,922.81

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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.