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Finding the Fourth Proportional to 11,797.95, 17,694.08 and 3,475.71

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Solution

The fourth proportional to 11,797.95, 17,694.08 and 3,475.71 is: 5,212.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.95 : 17,694.08 = 3,475.71 : x
  2. Step 2: Convert to fraction form
    11,797.95/17,694.08 = 3,475.71/x
  3. Step 3: Cross multiply
    11,797.95x = 17,694.08 × 3,475.71
  4. Step 4: Simplify right side
    11,797.95x = 61,499,490.80
  5. Step 5: Solve for x
    x = 61,499,490.80/11,797.95
  6. Step 6: Final answer
    x = 5,212.73

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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.