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Finding the Fourth Proportional to 8,012.82, 12,019.10 and 3,083.53

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Solution

The fourth proportional to 8,012.82, 12,019.10 and 3,083.53 is: 4,625.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.82 : 12,019.10 = 3,083.53 : x
  2. Step 2: Convert to fraction form
    8,012.82/12,019.10 = 3,083.53/x
  3. Step 3: Cross multiply
    8,012.82x = 12,019.10 × 3,083.53
  4. Step 4: Simplify right side
    8,012.82x = 37,061,255.42
  5. Step 5: Solve for x
    x = 37,061,255.42/8,012.82
  6. Step 6: Final answer
    x = 4,625.24

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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.