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Finding the Fourth Proportional to 8,184.38, 12,276.56 and 3,567.38

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Solution

The fourth proportional to 8,184.38, 12,276.56 and 3,567.38 is: 5,351.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.38 : 12,276.56 = 3,567.38 : x
  2. Step 2: Convert to fraction form
    8,184.38/12,276.56 = 3,567.38/x
  3. Step 3: Cross multiply
    8,184.38x = 12,276.56 × 3,567.38
  4. Step 4: Simplify right side
    8,184.38x = 43,795,102.15
  5. Step 5: Solve for x
    x = 43,795,102.15/8,184.38
  6. Step 6: Final answer
    x = 5,351.06

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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.