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Finding the Fourth Proportional to 6,704.52, 10,057.23 and 2,543.73

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Solution

The fourth proportional to 6,704.52, 10,057.23 and 2,543.73 is: 3,815.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.52 : 10,057.23 = 2,543.73 : x
  2. Step 2: Convert to fraction form
    6,704.52/10,057.23 = 2,543.73/x
  3. Step 3: Cross multiply
    6,704.52x = 10,057.23 × 2,543.73
  4. Step 4: Simplify right side
    6,704.52x = 25,582,877.67
  5. Step 5: Solve for x
    x = 25,582,877.67/6,704.52
  6. Step 6: Final answer
    x = 3,815.77

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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.