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Finding the Fourth Proportional to 7,783.14, 11,669.22 and 3,884.79

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Solution

The fourth proportional to 7,783.14, 11,669.22 and 3,884.79 is: 5,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.14 : 11,669.22 = 3,884.79 : x
  2. Step 2: Convert to fraction form
    7,783.14/11,669.22 = 3,884.79/x
  3. Step 3: Cross multiply
    7,783.14x = 11,669.22 × 3,884.79
  4. Step 4: Simplify right side
    7,783.14x = 45,332,469.16
  5. Step 5: Solve for x
    x = 45,332,469.16/7,783.14
  6. Step 6: Final answer
    x = 5,824.44

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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.