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Finding the Fourth Proportional to 7,840.07, 11,759.09 and 1,996.32

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Solution

The fourth proportional to 7,840.07, 11,759.09 and 1,996.32 is: 2,994.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.07 : 11,759.09 = 1,996.32 : x
  2. Step 2: Convert to fraction form
    7,840.07/11,759.09 = 1,996.32/x
  3. Step 3: Cross multiply
    7,840.07x = 11,759.09 × 1,996.32
  4. Step 4: Simplify right side
    7,840.07x = 23,474,896.57
  5. Step 5: Solve for x
    x = 23,474,896.57/7,840.07
  6. Step 6: Final answer
    x = 2,994.22

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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.