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Finding the Fourth Proportional to 11,576.77, 17,361.52 and 4,180.25

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Solution

The fourth proportional to 11,576.77, 17,361.52 and 4,180.25 is: 6,269.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.77 : 17,361.52 = 4,180.25 : x
  2. Step 2: Convert to fraction form
    11,576.77/17,361.52 = 4,180.25/x
  3. Step 3: Cross multiply
    11,576.77x = 17,361.52 × 4,180.25
  4. Step 4: Simplify right side
    11,576.77x = 72,575,493.98
  5. Step 5: Solve for x
    x = 72,575,493.98/11,576.77
  6. Step 6: Final answer
    x = 6,269.06

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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.