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Finding the Fourth Proportional to 10,706.23, 16,057.99 and 3,310.12

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Solution

The fourth proportional to 10,706.23, 16,057.99 and 3,310.12 is: 4,964.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.23 : 16,057.99 = 3,310.12 : x
  2. Step 2: Convert to fraction form
    10,706.23/16,057.99 = 3,310.12/x
  3. Step 3: Cross multiply
    10,706.23x = 16,057.99 × 3,310.12
  4. Step 4: Simplify right side
    10,706.23x = 53,153,873.86
  5. Step 5: Solve for x
    x = 53,153,873.86/10,706.23
  6. Step 6: Final answer
    x = 4,964.76

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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.