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Finding the Fourth Proportional to 11,644.25, 17,466.78 and 3,852.86

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Solution

The fourth proportional to 11,644.25, 17,466.78 and 3,852.86 is: 5,779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.25 : 17,466.78 = 3,852.86 : x
  2. Step 2: Convert to fraction form
    11,644.25/17,466.78 = 3,852.86/x
  3. Step 3: Cross multiply
    11,644.25x = 17,466.78 × 3,852.86
  4. Step 4: Simplify right side
    11,644.25x = 67,297,057.99
  5. Step 5: Solve for x
    x = 67,297,057.99/11,644.25
  6. Step 6: Final answer
    x = 5,779.42

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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.