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Finding the Fourth Proportional to 8,218.14, 12,328.38 and 3,023.52

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Solution

The fourth proportional to 8,218.14, 12,328.38 and 3,023.52 is: 4,535.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.14 : 12,328.38 = 3,023.52 : x
  2. Step 2: Convert to fraction form
    8,218.14/12,328.38 = 3,023.52/x
  3. Step 3: Cross multiply
    8,218.14x = 12,328.38 × 3,023.52
  4. Step 4: Simplify right side
    8,218.14x = 37,275,103.50
  5. Step 5: Solve for x
    x = 37,275,103.50/8,218.14
  6. Step 6: Final answer
    x = 4,535.71

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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.