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Finding the Fourth Proportional to 10,813.92, 16,220.91 and 3,022.80

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Solution

The fourth proportional to 10,813.92, 16,220.91 and 3,022.80 is: 4,534.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.92 : 16,220.91 = 3,022.80 : x
  2. Step 2: Convert to fraction form
    10,813.92/16,220.91 = 3,022.80/x
  3. Step 3: Cross multiply
    10,813.92x = 16,220.91 × 3,022.80
  4. Step 4: Simplify right side
    10,813.92x = 49,032,566.75
  5. Step 5: Solve for x
    x = 49,032,566.75/10,813.92
  6. Step 6: Final answer
    x = 4,534.21

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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.