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Finding the Fourth Proportional to 11,770.44, 16,241.66 and 6,734.12

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Solution

The fourth proportional to 11,770.44, 16,241.66 and 6,734.12 is: 9,292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.44 : 16,241.66 = 6,734.12 : x
  2. Step 2: Convert to fraction form
    11,770.44/16,241.66 = 6,734.12/x
  3. Step 3: Cross multiply
    11,770.44x = 16,241.66 × 6,734.12
  4. Step 4: Simplify right side
    11,770.44x = 109,373,287.44
  5. Step 5: Solve for x
    x = 109,373,287.44/11,770.44
  6. Step 6: Final answer
    x = 9,292.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.