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Finding the Fourth Proportional to 10,940.10, 16,410.24 and 3,149.16

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Solution

The fourth proportional to 10,940.10, 16,410.24 and 3,149.16 is: 4,723.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.10 : 16,410.24 = 3,149.16 : x
  2. Step 2: Convert to fraction form
    10,940.10/16,410.24 = 3,149.16/x
  3. Step 3: Cross multiply
    10,940.10x = 16,410.24 × 3,149.16
  4. Step 4: Simplify right side
    10,940.10x = 51,678,471.40
  5. Step 5: Solve for x
    x = 51,678,471.40/10,940.10
  6. Step 6: Final answer
    x = 4,723.77

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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.