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Finding the Fourth Proportional to 8,361.34, 12,544.02 and 4,190.98

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Solution

The fourth proportional to 8,361.34, 12,544.02 and 4,190.98 is: 6,287.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.34 : 12,544.02 = 4,190.98 : x
  2. Step 2: Convert to fraction form
    8,361.34/12,544.02 = 4,190.98/x
  3. Step 3: Cross multiply
    8,361.34x = 12,544.02 × 4,190.98
  4. Step 4: Simplify right side
    8,361.34x = 52,571,736.94
  5. Step 5: Solve for x
    x = 52,571,736.94/8,361.34
  6. Step 6: Final answer
    x = 6,287.48

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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.