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Finding the Fourth Proportional to 7,676.97, 11,517.89 and 2,746.50

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Solution

The fourth proportional to 7,676.97, 11,517.89 and 2,746.50 is: 4,120.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.97 : 11,517.89 = 2,746.50 : x
  2. Step 2: Convert to fraction form
    7,676.97/11,517.89 = 2,746.50/x
  3. Step 3: Cross multiply
    7,676.97x = 11,517.89 × 2,746.50
  4. Step 4: Simplify right side
    7,676.97x = 31,633,871.15
  5. Step 5: Solve for x
    x = 31,633,871.15/7,676.97
  6. Step 6: Final answer
    x = 4,120.62

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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.