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Finding the Fourth Proportional to 8,219.53, 12,329.97 and 2,671.44

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Solution

The fourth proportional to 8,219.53, 12,329.97 and 2,671.44 is: 4,007.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.53 : 12,329.97 = 2,671.44 : x
  2. Step 2: Convert to fraction form
    8,219.53/12,329.97 = 2,671.44/x
  3. Step 3: Cross multiply
    8,219.53x = 12,329.97 × 2,671.44
  4. Step 4: Simplify right side
    8,219.53x = 32,938,775.06
  5. Step 5: Solve for x
    x = 32,938,775.06/8,219.53
  6. Step 6: Final answer
    x = 4,007.38

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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.