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Finding the Fourth Proportional to 7,161.30, 10,737.09 and 3,467.70

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Solution

The fourth proportional to 7,161.30, 10,737.09 and 3,467.70 is: 5,199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.30 : 10,737.09 = 3,467.70 : x
  2. Step 2: Convert to fraction form
    7,161.30/10,737.09 = 3,467.70/x
  3. Step 3: Cross multiply
    7,161.30x = 10,737.09 × 3,467.70
  4. Step 4: Simplify right side
    7,161.30x = 37,233,006.99
  5. Step 5: Solve for x
    x = 37,233,006.99/7,161.30
  6. Step 6: Final answer
    x = 5,199.20

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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.