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Finding the Fourth Proportional to 10,805.10, 16,219.80 and 8,350.80

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Solution

The fourth proportional to 10,805.10, 16,219.80 and 8,350.80 is: 12,535.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.10 : 16,219.80 = 8,350.80 : x
  2. Step 2: Convert to fraction form
    10,805.10/16,219.80 = 8,350.80/x
  3. Step 3: Cross multiply
    10,805.10x = 16,219.80 × 8,350.80
  4. Step 4: Simplify right side
    10,805.10x = 135,448,305.84
  5. Step 5: Solve for x
    x = 135,448,305.84/10,805.10
  6. Step 6: Final answer
    x = 12,535.59

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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.