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Finding the Fourth Proportional to 11,644.96, 17,466.48 and 3,851.20

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Solution

The fourth proportional to 11,644.96, 17,466.48 and 3,851.20 is: 5,776.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.96 : 17,466.48 = 3,851.20 : x
  2. Step 2: Convert to fraction form
    11,644.96/17,466.48 = 3,851.20/x
  3. Step 3: Cross multiply
    11,644.96x = 17,466.48 × 3,851.20
  4. Step 4: Simplify right side
    11,644.96x = 67,266,907.78
  5. Step 5: Solve for x
    x = 67,266,907.78/11,644.96
  6. Step 6: Final answer
    x = 5,776.48

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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.