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Finding the Fourth Proportional to 8,215.56, 12,318.48 and 3,218.27

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Solution

The fourth proportional to 8,215.56, 12,318.48 and 3,218.27 is: 4,825.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.56 : 12,318.48 = 3,218.27 : x
  2. Step 2: Convert to fraction form
    8,215.56/12,318.48 = 3,218.27/x
  3. Step 3: Cross multiply
    8,215.56x = 12,318.48 × 3,218.27
  4. Step 4: Simplify right side
    8,215.56x = 39,644,133.04
  5. Step 5: Solve for x
    x = 39,644,133.04/8,215.56
  6. Step 6: Final answer
    x = 4,825.49

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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.