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Finding the Fourth Proportional to 8,361.12, 12,546.48 and 3,165.60

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Solution

The fourth proportional to 8,361.12, 12,546.48 and 3,165.60 is: 4,750.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.12 : 12,546.48 = 3,165.60 : x
  2. Step 2: Convert to fraction form
    8,361.12/12,546.48 = 3,165.60/x
  3. Step 3: Cross multiply
    8,361.12x = 12,546.48 × 3,165.60
  4. Step 4: Simplify right side
    8,361.12x = 39,717,137.09
  5. Step 5: Solve for x
    x = 39,717,137.09/8,361.12
  6. Step 6: Final answer
    x = 4,750.22

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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.