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Finding the Fourth Proportional to 8,224.30, 12,337.26 and 3,029.50

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Solution

The fourth proportional to 8,224.30, 12,337.26 and 3,029.50 is: 4,544.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.30 : 12,337.26 = 3,029.50 : x
  2. Step 2: Convert to fraction form
    8,224.30/12,337.26 = 3,029.50/x
  3. Step 3: Cross multiply
    8,224.30x = 12,337.26 × 3,029.50
  4. Step 4: Simplify right side
    8,224.30x = 37,375,729.17
  5. Step 5: Solve for x
    x = 37,375,729.17/8,224.30
  6. Step 6: Final answer
    x = 4,544.55

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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.