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Finding the Fourth Proportional to 10,791.70, 16,196.83 and 4,222.53

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Solution

The fourth proportional to 10,791.70, 16,196.83 and 4,222.53 is: 6,337.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791.70 : 16,196.83 = 4,222.53 : x
  2. Step 2: Convert to fraction form
    10,791.70/16,196.83 = 4,222.53/x
  3. Step 3: Cross multiply
    10,791.70x = 16,196.83 × 4,222.53
  4. Step 4: Simplify right side
    10,791.70x = 68,391,590.02
  5. Step 5: Solve for x
    x = 68,391,590.02/10,791.70
  6. Step 6: Final answer
    x = 6,337.43

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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.