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Finding the Fourth Proportional to 7,966.52, 11,891.14 and 6,933.80

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Solution

The fourth proportional to 7,966.52, 11,891.14 and 6,933.80 is: 10,349.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.52 : 11,891.14 = 6,933.80 : x
  2. Step 2: Convert to fraction form
    7,966.52/11,891.14 = 6,933.80/x
  3. Step 3: Cross multiply
    7,966.52x = 11,891.14 × 6,933.80
  4. Step 4: Simplify right side
    7,966.52x = 82,450,786.53
  5. Step 5: Solve for x
    x = 82,450,786.53/7,966.52
  6. Step 6: Final answer
    x = 10,349.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.