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Finding the Fourth Proportional to 11,840.80, 17,761.20 and 6,907.90

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Solution

The fourth proportional to 11,840.80, 17,761.20 and 6,907.90 is: 10,361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.80 : 17,761.20 = 6,907.90 : x
  2. Step 2: Convert to fraction form
    11,840.80/17,761.20 = 6,907.90/x
  3. Step 3: Cross multiply
    11,840.80x = 17,761.20 × 6,907.90
  4. Step 4: Simplify right side
    11,840.80x = 122,692,593.48
  5. Step 5: Solve for x
    x = 122,692,593.48/11,840.80
  6. Step 6: Final answer
    x = 10,361.85

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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.