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Finding the Fourth Proportional to 8,428.40, 12,636.12 and 3,238.64

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Solution

The fourth proportional to 8,428.40, 12,636.12 and 3,238.64 is: 4,855.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.40 : 12,636.12 = 3,238.64 : x
  2. Step 2: Convert to fraction form
    8,428.40/12,636.12 = 3,238.64/x
  3. Step 3: Cross multiply
    8,428.40x = 12,636.12 × 3,238.64
  4. Step 4: Simplify right side
    8,428.40x = 40,923,843.68
  5. Step 5: Solve for x
    x = 40,923,843.68/8,428.40
  6. Step 6: Final answer
    x = 4,855.47

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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.