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Finding the Fourth Proportional to 10,151.39, 15,224.15 and 3,906.83

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Solution

The fourth proportional to 10,151.39, 15,224.15 and 3,906.83 is: 5,859.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.39 : 15,224.15 = 3,906.83 : x
  2. Step 2: Convert to fraction form
    10,151.39/15,224.15 = 3,906.83/x
  3. Step 3: Cross multiply
    10,151.39x = 15,224.15 × 3,906.83
  4. Step 4: Simplify right side
    10,151.39x = 59,478,213.77
  5. Step 5: Solve for x
    x = 59,478,213.77/10,151.39
  6. Step 6: Final answer
    x = 5,859.12

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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.