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Finding the Fourth Proportional to 8,187.92, 12,280.68 and 4,026.81

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Solution

The fourth proportional to 8,187.92, 12,280.68 and 4,026.81 is: 6,039.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.92 : 12,280.68 = 4,026.81 : x
  2. Step 2: Convert to fraction form
    8,187.92/12,280.68 = 4,026.81/x
  3. Step 3: Cross multiply
    8,187.92x = 12,280.68 × 4,026.81
  4. Step 4: Simplify right side
    8,187.92x = 49,451,903.88
  5. Step 5: Solve for x
    x = 49,451,903.88/8,187.92
  6. Step 6: Final answer
    x = 6,039.62

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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.