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Finding the Fourth Proportional to 8,028.32, 12,043.02 and 3,098

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Solution

The fourth proportional to 8,028.32, 12,043.02 and 3,098 is: 4,647.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028.32 : 12,043.02 = 3,098 : x
  2. Step 2: Convert to fraction form
    8,028.32/12,043.02 = 3,098/x
  3. Step 3: Cross multiply
    8,028.32x = 12,043.02 × 3,098
  4. Step 4: Simplify right side
    8,028.32x = 37,309,275.96
  5. Step 5: Solve for x
    x = 37,309,275.96/8,028.32
  6. Step 6: Final answer
    x = 4,647.21

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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.