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Finding the Fourth Proportional to 7,092.52, 10,631.52 and 3,199.66

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Solution

The fourth proportional to 7,092.52, 10,631.52 and 3,199.66 is: 4,796.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.52 : 10,631.52 = 3,199.66 : x
  2. Step 2: Convert to fraction form
    7,092.52/10,631.52 = 3,199.66/x
  3. Step 3: Cross multiply
    7,092.52x = 10,631.52 × 3,199.66
  4. Step 4: Simplify right side
    7,092.52x = 34,017,249.28
  5. Step 5: Solve for x
    x = 34,017,249.28/7,092.52
  6. Step 6: Final answer
    x = 4,796.21

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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.