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Finding the Fourth Proportional to 8,723.92, 13,088.22 and 3,177.76

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Solution

The fourth proportional to 8,723.92, 13,088.22 and 3,177.76 is: 4,767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723.92 : 13,088.22 = 3,177.76 : x
  2. Step 2: Convert to fraction form
    8,723.92/13,088.22 = 3,177.76/x
  3. Step 3: Cross multiply
    8,723.92x = 13,088.22 × 3,177.76
  4. Step 4: Simplify right side
    8,723.92x = 41,591,221.99
  5. Step 5: Solve for x
    x = 41,591,221.99/8,723.92
  6. Step 6: Final answer
    x = 4,767.49

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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.