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Finding the Fourth Proportional to 11,783.85, 16,279.34 and 7,760.22

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Solution

The fourth proportional to 11,783.85, 16,279.34 and 7,760.22 is: 10,720.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.85 : 16,279.34 = 7,760.22 : x
  2. Step 2: Convert to fraction form
    11,783.85/16,279.34 = 7,760.22/x
  3. Step 3: Cross multiply
    11,783.85x = 16,279.34 × 7,760.22
  4. Step 4: Simplify right side
    11,783.85x = 126,331,221.05
  5. Step 5: Solve for x
    x = 126,331,221.05/11,783.85
  6. Step 6: Final answer
    x = 10,720.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.