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Finding the Fourth Proportional to 10,940.74, 16,411.10 and 3,149.54

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Solution

The fourth proportional to 10,940.74, 16,411.10 and 3,149.54 is: 4,724.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.74 : 16,411.10 = 3,149.54 : x
  2. Step 2: Convert to fraction form
    10,940.74/16,411.10 = 3,149.54/x
  3. Step 3: Cross multiply
    10,940.74x = 16,411.10 × 3,149.54
  4. Step 4: Simplify right side
    10,940.74x = 51,687,415.89
  5. Step 5: Solve for x
    x = 51,687,415.89/10,940.74
  6. Step 6: Final answer
    x = 4,724.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.