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Finding the Fourth Proportional to 10,993.72, 16,488.98 and 3,200.44

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Solution

The fourth proportional to 10,993.72, 16,488.98 and 3,200.44 is: 4,800.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.72 : 16,488.98 = 3,200.44 : x
  2. Step 2: Convert to fraction form
    10,993.72/16,488.98 = 3,200.44/x
  3. Step 3: Cross multiply
    10,993.72x = 16,488.98 × 3,200.44
  4. Step 4: Simplify right side
    10,993.72x = 52,771,991.15
  5. Step 5: Solve for x
    x = 52,771,991.15/10,993.72
  6. Step 6: Final answer
    x = 4,800.19

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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.