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Finding the Fourth Proportional to 11,957.72, 17,927.64 and 8,249.37

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Solution

The fourth proportional to 11,957.72, 17,927.64 and 8,249.37 is: 12,367.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.72 : 17,927.64 = 8,249.37 : x
  2. Step 2: Convert to fraction form
    11,957.72/17,927.64 = 8,249.37/x
  3. Step 3: Cross multiply
    11,957.72x = 17,927.64 × 8,249.37
  4. Step 4: Simplify right side
    11,957.72x = 147,891,666.57
  5. Step 5: Solve for x
    x = 147,891,666.57/11,957.72
  6. Step 6: Final answer
    x = 12,367.89

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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.