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Finding the Fourth Proportional to 10,231.73, 15,347.94 and 2,836.27

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Solution

The fourth proportional to 10,231.73, 15,347.94 and 2,836.27 is: 4,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.73 : 15,347.94 = 2,836.27 : x
  2. Step 2: Convert to fraction form
    10,231.73/15,347.94 = 2,836.27/x
  3. Step 3: Cross multiply
    10,231.73x = 15,347.94 × 2,836.27
  4. Step 4: Simplify right side
    10,231.73x = 43,530,901.78
  5. Step 5: Solve for x
    x = 43,530,901.78/10,231.73
  6. Step 6: Final answer
    x = 4,254.50

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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.