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Finding the Fourth Proportional to 7,161.40, 10,742.10 and 3,662.20

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Solution

The fourth proportional to 7,161.40, 10,742.10 and 3,662.20 is: 5,493.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.40 : 10,742.10 = 3,662.20 : x
  2. Step 2: Convert to fraction form
    7,161.40/10,742.10 = 3,662.20/x
  3. Step 3: Cross multiply
    7,161.40x = 10,742.10 × 3,662.20
  4. Step 4: Simplify right side
    7,161.40x = 39,339,718.62
  5. Step 5: Solve for x
    x = 39,339,718.62/7,161.40
  6. Step 6: Final answer
    x = 5,493.30

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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.