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Finding the Fourth Proportional to 7,584.82, 11,378.82 and 3,202.34

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Solution

The fourth proportional to 7,584.82, 11,378.82 and 3,202.34 is: 4,804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584.82 : 11,378.82 = 3,202.34 : x
  2. Step 2: Convert to fraction form
    7,584.82/11,378.82 = 3,202.34/x
  3. Step 3: Cross multiply
    7,584.82x = 11,378.82 × 3,202.34
  4. Step 4: Simplify right side
    7,584.82x = 36,438,850.44
  5. Step 5: Solve for x
    x = 36,438,850.44/7,584.82
  6. Step 6: Final answer
    x = 4,804.18

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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.