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Finding the Fourth Proportional to 10,822.75, 16,221.82 and 4,578.87

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Solution

The fourth proportional to 10,822.75, 16,221.82 and 4,578.87 is: 6,863.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.75 : 16,221.82 = 4,578.87 : x
  2. Step 2: Convert to fraction form
    10,822.75/16,221.82 = 4,578.87/x
  3. Step 3: Cross multiply
    10,822.75x = 16,221.82 × 4,578.87
  4. Step 4: Simplify right side
    10,822.75x = 74,277,604.94
  5. Step 5: Solve for x
    x = 74,277,604.94/10,822.75
  6. Step 6: Final answer
    x = 6,863.10

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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.