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Finding the Fourth Proportional to 7,691.60, 11,527.82 and 3,991.66

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Solution

The fourth proportional to 7,691.60, 11,527.82 and 3,991.66 is: 5,982.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.60 : 11,527.82 = 3,991.66 : x
  2. Step 2: Convert to fraction form
    7,691.60/11,527.82 = 3,991.66/x
  3. Step 3: Cross multiply
    7,691.60x = 11,527.82 × 3,991.66
  4. Step 4: Simplify right side
    7,691.60x = 46,015,137.98
  5. Step 5: Solve for x
    x = 46,015,137.98/7,691.60
  6. Step 6: Final answer
    x = 5,982.52

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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.