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Finding the Fourth Proportional to 8,215.97, 12,322.73 and 3,020.63

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Solution

The fourth proportional to 8,215.97, 12,322.73 and 3,020.63 is: 4,530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.97 : 12,322.73 = 3,020.63 : x
  2. Step 2: Convert to fraction form
    8,215.97/12,322.73 = 3,020.63/x
  3. Step 3: Cross multiply
    8,215.97x = 12,322.73 × 3,020.63
  4. Step 4: Simplify right side
    8,215.97x = 37,222,353.86
  5. Step 5: Solve for x
    x = 37,222,353.86/8,215.97
  6. Step 6: Final answer
    x = 4,530.49

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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.