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Finding the Fourth Proportional to 10,999.67, 16,500.06 and 3,209.09

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Solution

The fourth proportional to 10,999.67, 16,500.06 and 3,209.09 is: 4,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.67 : 16,500.06 = 3,209.09 : x
  2. Step 2: Convert to fraction form
    10,999.67/16,500.06 = 3,209.09/x
  3. Step 3: Cross multiply
    10,999.67x = 16,500.06 × 3,209.09
  4. Step 4: Simplify right side
    10,999.67x = 52,950,177.55
  5. Step 5: Solve for x
    x = 52,950,177.55/10,999.67
  6. Step 6: Final answer
    x = 4,813.80

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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.