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Finding the Fourth Proportional to 7,267.82, 10,900.18 and 3,317.96

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Solution

The fourth proportional to 7,267.82, 10,900.18 and 3,317.96 is: 4,976.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267.82 : 10,900.18 = 3,317.96 : x
  2. Step 2: Convert to fraction form
    7,267.82/10,900.18 = 3,317.96/x
  3. Step 3: Cross multiply
    7,267.82x = 10,900.18 × 3,317.96
  4. Step 4: Simplify right side
    7,267.82x = 36,166,361.23
  5. Step 5: Solve for x
    x = 36,166,361.23/7,267.82
  6. Step 6: Final answer
    x = 4,976.23

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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.