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Finding the Fourth Proportional to 7,676.56, 11,505.36 and 3,976.66

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Solution

The fourth proportional to 7,676.56, 11,505.36 and 3,976.66 is: 5,960.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.56 : 11,505.36 = 3,976.66 : x
  2. Step 2: Convert to fraction form
    7,676.56/11,505.36 = 3,976.66/x
  3. Step 3: Cross multiply
    7,676.56x = 11,505.36 × 3,976.66
  4. Step 4: Simplify right side
    7,676.56x = 45,752,847.37
  5. Step 5: Solve for x
    x = 45,752,847.37/7,676.56
  6. Step 6: Final answer
    x = 5,960.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.