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Finding the Fourth Proportional to 11,644.08, 17,464.80 and 3,324.80

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Solution

The fourth proportional to 11,644.08, 17,464.80 and 3,324.80 is: 4,986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.08 : 17,464.80 = 3,324.80 : x
  2. Step 2: Convert to fraction form
    11,644.08/17,464.80 = 3,324.80/x
  3. Step 3: Cross multiply
    11,644.08x = 17,464.80 × 3,324.80
  4. Step 4: Simplify right side
    11,644.08x = 58,066,967.04
  5. Step 5: Solve for x
    x = 58,066,967.04/11,644.08
  6. Step 6: Final answer
    x = 4,986.82

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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.