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Finding the Fourth Proportional to 11,793.74, 17,687.84 and 5,216.31

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Solution

The fourth proportional to 11,793.74, 17,687.84 and 5,216.31 is: 7,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.74 : 17,687.84 = 5,216.31 : x
  2. Step 2: Convert to fraction form
    11,793.74/17,687.84 = 5,216.31/x
  3. Step 3: Cross multiply
    11,793.74x = 17,687.84 × 5,216.31
  4. Step 4: Simplify right side
    11,793.74x = 92,265,230.59
  5. Step 5: Solve for x
    x = 92,265,230.59/11,793.74
  6. Step 6: Final answer
    x = 7,823.24

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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.