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Finding the Fourth Proportional to 11,797.16, 17,687.16 and 5,957.90

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Solution

The fourth proportional to 11,797.16, 17,687.16 and 5,957.90 is: 8,932.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.16 : 17,687.16 = 5,957.90 : x
  2. Step 2: Convert to fraction form
    11,797.16/17,687.16 = 5,957.90/x
  3. Step 3: Cross multiply
    11,797.16x = 17,687.16 × 5,957.90
  4. Step 4: Simplify right side
    11,797.16x = 105,378,330.56
  5. Step 5: Solve for x
    x = 105,378,330.56/11,797.16
  6. Step 6: Final answer
    x = 8,932.52

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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.