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Finding the Fourth Proportional to 7,461.80, 11,192.22 and 2,267.72

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Solution

The fourth proportional to 7,461.80, 11,192.22 and 2,267.72 is: 3,401.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.80 : 11,192.22 = 2,267.72 : x
  2. Step 2: Convert to fraction form
    7,461.80/11,192.22 = 2,267.72/x
  3. Step 3: Cross multiply
    7,461.80x = 11,192.22 × 2,267.72
  4. Step 4: Simplify right side
    7,461.80x = 25,380,821.14
  5. Step 5: Solve for x
    x = 25,380,821.14/7,461.80
  6. Step 6: Final answer
    x = 3,401.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.