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Finding the Fourth Proportional to 8,022.30, 12,035.43 and 3,092.28

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Solution

The fourth proportional to 8,022.30, 12,035.43 and 3,092.28 is: 4,639.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.30 : 12,035.43 = 3,092.28 : x
  2. Step 2: Convert to fraction form
    8,022.30/12,035.43 = 3,092.28/x
  3. Step 3: Cross multiply
    8,022.30x = 12,035.43 × 3,092.28
  4. Step 4: Simplify right side
    8,022.30x = 37,216,919.48
  5. Step 5: Solve for x
    x = 37,216,919.48/8,022.30
  6. Step 6: Final answer
    x = 4,639.18

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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.