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Finding the Fourth Proportional to 6,725.52, 10,091.52 and 2,829.42

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Solution

The fourth proportional to 6,725.52, 10,091.52 and 2,829.42 is: 4,245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.52 : 10,091.52 = 2,829.42 : x
  2. Step 2: Convert to fraction form
    6,725.52/10,091.52 = 2,829.42/x
  3. Step 3: Cross multiply
    6,725.52x = 10,091.52 × 2,829.42
  4. Step 4: Simplify right side
    6,725.52x = 28,553,148.52
  5. Step 5: Solve for x
    x = 28,553,148.52/6,725.52
  6. Step 6: Final answer
    x = 4,245.49

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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.