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Finding the Fourth Proportional to 8,276.41, 12,414.60 and 5,822.20

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Solution

The fourth proportional to 8,276.41, 12,414.60 and 5,822.20 is: 8,733.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.41 : 12,414.60 = 5,822.20 : x
  2. Step 2: Convert to fraction form
    8,276.41/12,414.60 = 5,822.20/x
  3. Step 3: Cross multiply
    8,276.41x = 12,414.60 × 5,822.20
  4. Step 4: Simplify right side
    8,276.41x = 72,280,284.12
  5. Step 5: Solve for x
    x = 72,280,284.12/8,276.41
  6. Step 6: Final answer
    x = 8,733.29

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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.