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Finding the Fourth Proportional to 11,221.41, 16,813.52 and 6,825.57

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Solution

The fourth proportional to 11,221.41, 16,813.52 and 6,825.57 is: 10,227.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,221.41 : 16,813.52 = 6,825.57 : x
  2. Step 2: Convert to fraction form
    11,221.41/16,813.52 = 6,825.57/x
  3. Step 3: Cross multiply
    11,221.41x = 16,813.52 × 6,825.57
  4. Step 4: Simplify right side
    11,221.41x = 114,761,823.58
  5. Step 5: Solve for x
    x = 114,761,823.58/11,221.41
  6. Step 6: Final answer
    x = 10,227.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.