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Finding the Fourth Proportional to 8,138.46, 12,198.24 and 5,364.48

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Solution

The fourth proportional to 8,138.46, 12,198.24 and 5,364.48 is: 8,040.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.46 : 12,198.24 = 5,364.48 : x
  2. Step 2: Convert to fraction form
    8,138.46/12,198.24 = 5,364.48/x
  3. Step 3: Cross multiply
    8,138.46x = 12,198.24 × 5,364.48
  4. Step 4: Simplify right side
    8,138.46x = 65,437,214.52
  5. Step 5: Solve for x
    x = 65,437,214.52/8,138.46
  6. Step 6: Final answer
    x = 8,040.49

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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.