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Finding the Fourth Proportional to 8,012.37, 12,015.82 and 3,083.72

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Solution

The fourth proportional to 8,012.37, 12,015.82 and 3,083.72 is: 4,624.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.37 : 12,015.82 = 3,083.72 : x
  2. Step 2: Convert to fraction form
    8,012.37/12,015.82 = 3,083.72/x
  3. Step 3: Cross multiply
    8,012.37x = 12,015.82 × 3,083.72
  4. Step 4: Simplify right side
    8,012.37x = 37,053,427.14
  5. Step 5: Solve for x
    x = 37,053,427.14/8,012.37
  6. Step 6: Final answer
    x = 4,624.53

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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.