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Finding the Fourth Proportional to 8,067.36, 12,102.66 and 3,683.64

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Solution

The fourth proportional to 8,067.36, 12,102.66 and 3,683.64 is: 5,526.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067.36 : 12,102.66 = 3,683.64 : x
  2. Step 2: Convert to fraction form
    8,067.36/12,102.66 = 3,683.64/x
  3. Step 3: Cross multiply
    8,067.36x = 12,102.66 × 3,683.64
  4. Step 4: Simplify right side
    8,067.36x = 44,581,842.48
  5. Step 5: Solve for x
    x = 44,581,842.48/8,067.36
  6. Step 6: Final answer
    x = 5,526.20

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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.