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Finding the Fourth Proportional to 10,991.72, 16,488.06 and 3,200.54

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Solution

The fourth proportional to 10,991.72, 16,488.06 and 3,200.54 is: 4,800.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,991.72 : 16,488.06 = 3,200.54 : x
  2. Step 2: Convert to fraction form
    10,991.72/16,488.06 = 3,200.54/x
  3. Step 3: Cross multiply
    10,991.72x = 16,488.06 × 3,200.54
  4. Step 4: Simplify right side
    10,991.72x = 52,770,695.55
  5. Step 5: Solve for x
    x = 52,770,695.55/10,991.72
  6. Step 6: Final answer
    x = 4,800.95

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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.