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Finding the Fourth Proportional to 8,107.36, 12,157.52 and 3,429.44

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Solution

The fourth proportional to 8,107.36, 12,157.52 and 3,429.44 is: 5,142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.36 : 12,157.52 = 3,429.44 : x
  2. Step 2: Convert to fraction form
    8,107.36/12,157.52 = 3,429.44/x
  3. Step 3: Cross multiply
    8,107.36x = 12,157.52 × 3,429.44
  4. Step 4: Simplify right side
    8,107.36x = 41,693,485.39
  5. Step 5: Solve for x
    x = 41,693,485.39/8,107.36
  6. Step 6: Final answer
    x = 5,142.67

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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.