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Finding the Fourth Proportional to 7,739.87, 11,611.57 and 2,809.51

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Solution

The fourth proportional to 7,739.87, 11,611.57 and 2,809.51 is: 4,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739.87 : 11,611.57 = 2,809.51 : x
  2. Step 2: Convert to fraction form
    7,739.87/11,611.57 = 2,809.51/x
  3. Step 3: Cross multiply
    7,739.87x = 11,611.57 × 2,809.51
  4. Step 4: Simplify right side
    7,739.87x = 32,622,791.25
  5. Step 5: Solve for x
    x = 32,622,791.25/7,739.87
  6. Step 6: Final answer
    x = 4,214.90

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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.