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Finding the Fourth Proportional to 6,741.50, 10,112.04 and 2,843.10

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Solution

The fourth proportional to 6,741.50, 10,112.04 and 2,843.10 is: 4,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.50 : 10,112.04 = 2,843.10 : x
  2. Step 2: Convert to fraction form
    6,741.50/10,112.04 = 2,843.10/x
  3. Step 3: Cross multiply
    6,741.50x = 10,112.04 × 2,843.10
  4. Step 4: Simplify right side
    6,741.50x = 28,749,540.92
  5. Step 5: Solve for x
    x = 28,749,540.92/6,741.50
  6. Step 6: Final answer
    x = 4,264.56

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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.