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Finding the Fourth Proportional to 10,991.56, 16,489.98 and 3,200.20

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Solution

The fourth proportional to 10,991.56, 16,489.98 and 3,200.20 is: 4,801.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,991.56 : 16,489.98 = 3,200.20 : x
  2. Step 2: Convert to fraction form
    10,991.56/16,489.98 = 3,200.20/x
  3. Step 3: Cross multiply
    10,991.56x = 16,489.98 × 3,200.20
  4. Step 4: Simplify right side
    10,991.56x = 52,771,234.00
  5. Step 5: Solve for x
    x = 52,771,234.00/10,991.56
  6. Step 6: Final answer
    x = 4,801.07

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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.