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Finding the Fourth Proportional to 10,694.46, 16,041.70 and 3,769.50

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Solution

The fourth proportional to 10,694.46, 16,041.70 and 3,769.50 is: 5,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.46 : 16,041.70 = 3,769.50 : x
  2. Step 2: Convert to fraction form
    10,694.46/16,041.70 = 3,769.50/x
  3. Step 3: Cross multiply
    10,694.46x = 16,041.70 × 3,769.50
  4. Step 4: Simplify right side
    10,694.46x = 60,469,188.15
  5. Step 5: Solve for x
    x = 60,469,188.15/10,694.46
  6. Step 6: Final answer
    x = 5,654.25

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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.