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Finding the Fourth Proportional to 7,267.50, 10,900.18 and 3,467.28

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Solution

The fourth proportional to 7,267.50, 10,900.18 and 3,467.28 is: 5,200.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267.50 : 10,900.18 = 3,467.28 : x
  2. Step 2: Convert to fraction form
    7,267.50/10,900.18 = 3,467.28/x
  3. Step 3: Cross multiply
    7,267.50x = 10,900.18 × 3,467.28
  4. Step 4: Simplify right side
    7,267.50x = 37,793,976.11
  5. Step 5: Solve for x
    x = 37,793,976.11/7,267.50
  6. Step 6: Final answer
    x = 5,200.41

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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.