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Finding the Fourth Proportional to 11,818.50, 17,732.83 and 4,422.02

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Solution

The fourth proportional to 11,818.50, 17,732.83 and 4,422.02 is: 6,634.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,818.50 : 17,732.83 = 4,422.02 : x
  2. Step 2: Convert to fraction form
    11,818.50/17,732.83 = 4,422.02/x
  3. Step 3: Cross multiply
    11,818.50x = 17,732.83 × 4,422.02
  4. Step 4: Simplify right side
    11,818.50x = 78,414,928.92
  5. Step 5: Solve for x
    x = 78,414,928.92/11,818.50
  6. Step 6: Final answer
    x = 6,634.93

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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.