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Finding the Fourth Proportional to 8,151.95, 12,229.68 and 2,529.51

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Solution

The fourth proportional to 8,151.95, 12,229.68 and 2,529.51 is: 3,794.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.95 : 12,229.68 = 2,529.51 : x
  2. Step 2: Convert to fraction form
    8,151.95/12,229.68 = 2,529.51/x
  3. Step 3: Cross multiply
    8,151.95x = 12,229.68 × 2,529.51
  4. Step 4: Simplify right side
    8,151.95x = 30,935,104.48
  5. Step 5: Solve for x
    x = 30,935,104.48/8,151.95
  6. Step 6: Final answer
    x = 3,794.81

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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.