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Finding the Fourth Proportional to 7,676.50, 11,517.45 and 3,783.64

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Solution

The fourth proportional to 7,676.50, 11,517.45 and 3,783.64 is: 5,676.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.50 : 11,517.45 = 3,783.64 : x
  2. Step 2: Convert to fraction form
    7,676.50/11,517.45 = 3,783.64/x
  3. Step 3: Cross multiply
    7,676.50x = 11,517.45 × 3,783.64
  4. Step 4: Simplify right side
    7,676.50x = 43,577,884.52
  5. Step 5: Solve for x
    x = 43,577,884.52/7,676.50
  6. Step 6: Final answer
    x = 5,676.79

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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.