Home / 8,202.24-12,296-3,004.48

Finding the Fourth Proportional to 8,202.24, 12,296 and 3,004.48

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Solution

The fourth proportional to 8,202.24, 12,296 and 3,004.48 is: 4,504.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.24 : 12,296 = 3,004.48 : x
  2. Step 2: Convert to fraction form
    8,202.24/12,296 = 3,004.48/x
  3. Step 3: Cross multiply
    8,202.24x = 12,296 × 3,004.48
  4. Step 4: Simplify right side
    8,202.24x = 36,943,086.08
  5. Step 5: Solve for x
    x = 36,943,086.08/8,202.24
  6. Step 6: Final answer
    x = 4,504.02

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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.