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Finding the Fourth Proportional to 10,940.16, 16,407 and 3,149.76

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Solution

The fourth proportional to 10,940.16, 16,407 and 3,149.76 is: 4,723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.16 : 16,407 = 3,149.76 : x
  2. Step 2: Convert to fraction form
    10,940.16/16,407 = 3,149.76/x
  3. Step 3: Cross multiply
    10,940.16x = 16,407 × 3,149.76
  4. Step 4: Simplify right side
    10,940.16x = 51,678,112.32
  5. Step 5: Solve for x
    x = 51,678,112.32/10,940.16
  6. Step 6: Final answer
    x = 4,723.71

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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.