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Finding the Fourth Proportional to 7,286.94, 10,932.24 and 2,092.86

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Solution

The fourth proportional to 7,286.94, 10,932.24 and 2,092.86 is: 3,139.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.94 : 10,932.24 = 2,092.86 : x
  2. Step 2: Convert to fraction form
    7,286.94/10,932.24 = 2,092.86/x
  3. Step 3: Cross multiply
    7,286.94x = 10,932.24 × 2,092.86
  4. Step 4: Simplify right side
    7,286.94x = 22,879,647.81
  5. Step 5: Solve for x
    x = 22,879,647.81/7,286.94
  6. Step 6: Final answer
    x = 3,139.82

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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.