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Finding the Fourth Proportional to 11,361.67, 17,037.34 and 4,784.27

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Solution

The fourth proportional to 11,361.67, 17,037.34 and 4,784.27 is: 7,174.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,361.67 : 17,037.34 = 4,784.27 : x
  2. Step 2: Convert to fraction form
    11,361.67/17,037.34 = 4,784.27/x
  3. Step 3: Cross multiply
    11,361.67x = 17,037.34 × 4,784.27
  4. Step 4: Simplify right side
    11,361.67x = 81,511,137.49
  5. Step 5: Solve for x
    x = 81,511,137.49/11,361.67
  6. Step 6: Final answer
    x = 7,174.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.