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Finding the Fourth Proportional to 10,993.38, 16,492.78 and 3,202.26

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Solution

The fourth proportional to 10,993.38, 16,492.78 and 3,202.26 is: 4,804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.38 : 16,492.78 = 3,202.26 : x
  2. Step 2: Convert to fraction form
    10,993.38/16,492.78 = 3,202.26/x
  3. Step 3: Cross multiply
    10,993.38x = 16,492.78 × 3,202.26
  4. Step 4: Simplify right side
    10,993.38x = 52,814,169.68
  5. Step 5: Solve for x
    x = 52,814,169.68/10,993.38
  6. Step 6: Final answer
    x = 4,804.18

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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.