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Finding the Fourth Proportional to 11,367.70, 15,687.64 and 6,332.37

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Solution

The fourth proportional to 11,367.70, 15,687.64 and 6,332.37 is: 8,738.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,367.70 : 15,687.64 = 6,332.37 : x
  2. Step 2: Convert to fraction form
    11,367.70/15,687.64 = 6,332.37/x
  3. Step 3: Cross multiply
    11,367.70x = 15,687.64 × 6,332.37
  4. Step 4: Simplify right side
    11,367.70x = 99,339,940.91
  5. Step 5: Solve for x
    x = 99,339,940.91/11,367.70
  6. Step 6: Final answer
    x = 8,738.79

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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.