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Finding the Fourth Proportional to 11,794.80, 17,687.46 and 5,216.52

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Solution

The fourth proportional to 11,794.80, 17,687.46 and 5,216.52 is: 7,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.80 : 17,687.46 = 5,216.52 : x
  2. Step 2: Convert to fraction form
    11,794.80/17,687.46 = 5,216.52/x
  3. Step 3: Cross multiply
    11,794.80x = 17,687.46 × 5,216.52
  4. Step 4: Simplify right side
    11,794.80x = 92,266,988.84
  5. Step 5: Solve for x
    x = 92,266,988.84/11,794.80
  6. Step 6: Final answer
    x = 7,822.68

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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.