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Finding the Fourth Proportional to 8,201.60, 12,280.80 and 5,998.40

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Solution

The fourth proportional to 8,201.60, 12,280.80 and 5,998.40 is: 8,981.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.60 : 12,280.80 = 5,998.40 : x
  2. Step 2: Convert to fraction form
    8,201.60/12,280.80 = 5,998.40/x
  3. Step 3: Cross multiply
    8,201.60x = 12,280.80 × 5,998.40
  4. Step 4: Simplify right side
    8,201.60x = 73,665,150.72
  5. Step 5: Solve for x
    x = 73,665,150.72/8,201.60
  6. Step 6: Final answer
    x = 8,981.80

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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.