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Finding the Fourth Proportional to 8,228.68, 12,352.14 and 3,301.84

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Solution

The fourth proportional to 8,228.68, 12,352.14 and 3,301.84 is: 4,956.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.68 : 12,352.14 = 3,301.84 : x
  2. Step 2: Convert to fraction form
    8,228.68/12,352.14 = 3,301.84/x
  3. Step 3: Cross multiply
    8,228.68x = 12,352.14 × 3,301.84
  4. Step 4: Simplify right side
    8,228.68x = 40,784,789.94
  5. Step 5: Solve for x
    x = 40,784,789.94/8,228.68
  6. Step 6: Final answer
    x = 4,956.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.