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Finding the Fourth Proportional to 6,940.10, 10,411.05 and 3,431.90

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Solution

The fourth proportional to 6,940.10, 10,411.05 and 3,431.90 is: 5,148.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.10 : 10,411.05 = 3,431.90 : x
  2. Step 2: Convert to fraction form
    6,940.10/10,411.05 = 3,431.90/x
  3. Step 3: Cross multiply
    6,940.10x = 10,411.05 × 3,431.90
  4. Step 4: Simplify right side
    6,940.10x = 35,729,682.50
  5. Step 5: Solve for x
    x = 35,729,682.50/6,940.10
  6. Step 6: Final answer
    x = 5,148.30

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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.