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Finding the Fourth Proportional to 8,221.13, 12,331.81 and 2,377.76

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Solution

The fourth proportional to 8,221.13, 12,331.81 and 2,377.76 is: 3,566.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.13 : 12,331.81 = 2,377.76 : x
  2. Step 2: Convert to fraction form
    8,221.13/12,331.81 = 2,377.76/x
  3. Step 3: Cross multiply
    8,221.13x = 12,331.81 × 2,377.76
  4. Step 4: Simplify right side
    8,221.13x = 29,322,025.86
  5. Step 5: Solve for x
    x = 29,322,025.86/8,221.13
  6. Step 6: Final answer
    x = 3,566.67

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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.