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Finding the Fourth Proportional to 8,267.94, 11,409.73 and 4,731.14

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Solution

The fourth proportional to 8,267.94, 11,409.73 and 4,731.14 is: 6,528.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.94 : 11,409.73 = 4,731.14 : x
  2. Step 2: Convert to fraction form
    8,267.94/11,409.73 = 4,731.14/x
  3. Step 3: Cross multiply
    8,267.94x = 11,409.73 × 4,731.14
  4. Step 4: Simplify right side
    8,267.94x = 53,981,046.69
  5. Step 5: Solve for x
    x = 53,981,046.69/8,267.94
  6. Step 6: Final answer
    x = 6,528.96

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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.