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Finding the Fourth Proportional to 12,276.92, 16,942.38 and 7,311.80

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Solution

The fourth proportional to 12,276.92, 16,942.38 and 7,311.80 is: 10,090.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276.92 : 16,942.38 = 7,311.80 : x
  2. Step 2: Convert to fraction form
    12,276.92/16,942.38 = 7,311.80/x
  3. Step 3: Cross multiply
    12,276.92x = 16,942.38 × 7,311.80
  4. Step 4: Simplify right side
    12,276.92x = 123,879,294.08
  5. Step 5: Solve for x
    x = 123,879,294.08/12,276.92
  6. Step 6: Final answer
    x = 10,090.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.