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Finding the Fourth Proportional to 10,822.70, 16,234.05 and 6,201.90

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Solution

The fourth proportional to 10,822.70, 16,234.05 and 6,201.90 is: 9,302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.70 : 16,234.05 = 6,201.90 : x
  2. Step 2: Convert to fraction form
    10,822.70/16,234.05 = 6,201.90/x
  3. Step 3: Cross multiply
    10,822.70x = 16,234.05 × 6,201.90
  4. Step 4: Simplify right side
    10,822.70x = 100,681,954.70
  5. Step 5: Solve for x
    x = 100,681,954.70/10,822.70
  6. Step 6: Final answer
    x = 9,302.85

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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.