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Finding the Fourth Proportional to 8,361.60, 12,538.24 and 3,741.44

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Solution

The fourth proportional to 8,361.60, 12,538.24 and 3,741.44 is: 5,610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.60 : 12,538.24 = 3,741.44 : x
  2. Step 2: Convert to fraction form
    8,361.60/12,538.24 = 3,741.44/x
  3. Step 3: Cross multiply
    8,361.60x = 12,538.24 × 3,741.44
  4. Step 4: Simplify right side
    8,361.60x = 46,911,072.67
  5. Step 5: Solve for x
    x = 46,911,072.67/8,361.60
  6. Step 6: Final answer
    x = 5,610.30

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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.