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Finding the Fourth Proportional to 10,769.49, 16,154.51 and 3,843.99

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Solution

The fourth proportional to 10,769.49, 16,154.51 and 3,843.99 is: 5,766.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.49 : 16,154.51 = 3,843.99 : x
  2. Step 2: Convert to fraction form
    10,769.49/16,154.51 = 3,843.99/x
  3. Step 3: Cross multiply
    10,769.49x = 16,154.51 × 3,843.99
  4. Step 4: Simplify right side
    10,769.49x = 62,097,755.67
  5. Step 5: Solve for x
    x = 62,097,755.67/10,769.49
  6. Step 6: Final answer
    x = 5,766.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.