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Finding the Fourth Proportional to 11,364, 17,034.66 and 4,793.82

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Solution

The fourth proportional to 11,364, 17,034.66 and 4,793.82 is: 7,185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364 : 17,034.66 = 4,793.82 : x
  2. Step 2: Convert to fraction form
    11,364/17,034.66 = 4,793.82/x
  3. Step 3: Cross multiply
    11,364x = 17,034.66 × 4,793.82
  4. Step 4: Simplify right side
    11,364x = 81,661,093.80
  5. Step 5: Solve for x
    x = 81,661,093.80/11,364
  6. Step 6: Final answer
    x = 7,185.95

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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.