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Finding the Fourth Proportional to 8,228.40, 12,342.60 and 6,843.30

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Solution

The fourth proportional to 8,228.40, 12,342.60 and 6,843.30 is: 10,264.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.40 : 12,342.60 = 6,843.30 : x
  2. Step 2: Convert to fraction form
    8,228.40/12,342.60 = 6,843.30/x
  3. Step 3: Cross multiply
    8,228.40x = 12,342.60 × 6,843.30
  4. Step 4: Simplify right side
    8,228.40x = 84,464,114.58
  5. Step 5: Solve for x
    x = 84,464,114.58/8,228.40
  6. Step 6: Final answer
    x = 10,264.95

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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.