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Finding the Fourth Proportional to 10,704.10, 16,057.69 and 3,309.13

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Solution

The fourth proportional to 10,704.10, 16,057.69 and 3,309.13 is: 4,964.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.10 : 16,057.69 = 3,309.13 : x
  2. Step 2: Convert to fraction form
    10,704.10/16,057.69 = 3,309.13/x
  3. Step 3: Cross multiply
    10,704.10x = 16,057.69 × 3,309.13
  4. Step 4: Simplify right side
    10,704.10x = 53,137,049.64
  5. Step 5: Solve for x
    x = 53,137,049.64/10,704.10
  6. Step 6: Final answer
    x = 4,964.18

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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.