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Finding the Fourth Proportional to 7,960.97, 11,910.59 and 5,744.91

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Solution

The fourth proportional to 7,960.97, 11,910.59 and 5,744.91 is: 8,595.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.97 : 11,910.59 = 5,744.91 : x
  2. Step 2: Convert to fraction form
    7,960.97/11,910.59 = 5,744.91/x
  3. Step 3: Cross multiply
    7,960.97x = 11,910.59 × 5,744.91
  4. Step 4: Simplify right side
    7,960.97x = 68,425,281.96
  5. Step 5: Solve for x
    x = 68,425,281.96/7,960.97
  6. Step 6: Final answer
    x = 8,595.09

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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.