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Finding the Fourth Proportional to 8,252.44, 12,378.66 and 2,012.44

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Solution

The fourth proportional to 8,252.44, 12,378.66 and 2,012.44 is: 3,018.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.44 : 12,378.66 = 2,012.44 : x
  2. Step 2: Convert to fraction form
    8,252.44/12,378.66 = 2,012.44/x
  3. Step 3: Cross multiply
    8,252.44x = 12,378.66 × 2,012.44
  4. Step 4: Simplify right side
    8,252.44x = 24,911,310.53
  5. Step 5: Solve for x
    x = 24,911,310.53/8,252.44
  6. Step 6: Final answer
    x = 3,018.66

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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.