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Finding the Fourth Proportional to 8,229.70, 11,357.27 and 4,644.62

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Solution

The fourth proportional to 8,229.70, 11,357.27 and 4,644.62 is: 6,409.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.70 : 11,357.27 = 4,644.62 : x
  2. Step 2: Convert to fraction form
    8,229.70/11,357.27 = 4,644.62/x
  3. Step 3: Cross multiply
    8,229.70x = 11,357.27 × 4,644.62
  4. Step 4: Simplify right side
    8,229.70x = 52,750,203.39
  5. Step 5: Solve for x
    x = 52,750,203.39/8,229.70
  6. Step 6: Final answer
    x = 6,409.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.