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Finding the Fourth Proportional to 11,122.80, 16,643.70 and 8,206.80

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Solution

The fourth proportional to 11,122.80, 16,643.70 and 8,206.80 is: 12,280.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,122.80 : 16,643.70 = 8,206.80 : x
  2. Step 2: Convert to fraction form
    11,122.80/16,643.70 = 8,206.80/x
  3. Step 3: Cross multiply
    11,122.80x = 16,643.70 × 8,206.80
  4. Step 4: Simplify right side
    11,122.80x = 136,591,517.16
  5. Step 5: Solve for x
    x = 136,591,517.16/11,122.80
  6. Step 6: Final answer
    x = 12,280.32

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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.