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Finding the Fourth Proportional to 11,217.66, 16,813.74 and 6,825.44

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Solution

The fourth proportional to 11,217.66, 16,813.74 and 6,825.44 is: 10,230.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,217.66 : 16,813.74 = 6,825.44 : x
  2. Step 2: Convert to fraction form
    11,217.66/16,813.74 = 6,825.44/x
  3. Step 3: Cross multiply
    11,217.66x = 16,813.74 × 6,825.44
  4. Step 4: Simplify right side
    11,217.66x = 114,761,173.55
  5. Step 5: Solve for x
    x = 114,761,173.55/11,217.66
  6. Step 6: Final answer
    x = 10,230.40

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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.