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Finding the Fourth Proportional to 10,793.70, 16,192.94 and 4,221.77

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Solution

The fourth proportional to 10,793.70, 16,192.94 and 4,221.77 is: 6,333.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793.70 : 16,192.94 = 4,221.77 : x
  2. Step 2: Convert to fraction form
    10,793.70/16,192.94 = 4,221.77/x
  3. Step 3: Cross multiply
    10,793.70x = 16,192.94 × 4,221.77
  4. Step 4: Simplify right side
    10,793.70x = 68,362,766.23
  5. Step 5: Solve for x
    x = 68,362,766.23/10,793.70
  6. Step 6: Final answer
    x = 6,333.58

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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.