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Finding the Fourth Proportional to 10,778.70, 16,168.02 and 3,383.19

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Solution

The fourth proportional to 10,778.70, 16,168.02 and 3,383.19 is: 5,074.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.70 : 16,168.02 = 3,383.19 : x
  2. Step 2: Convert to fraction form
    10,778.70/16,168.02 = 3,383.19/x
  3. Step 3: Cross multiply
    10,778.70x = 16,168.02 × 3,383.19
  4. Step 4: Simplify right side
    10,778.70x = 54,699,483.58
  5. Step 5: Solve for x
    x = 54,699,483.58/10,778.70
  6. Step 6: Final answer
    x = 5,074.78

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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.