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Finding the Fourth Proportional to 11,571.36, 17,343.12 and 6,644.16

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Solution

The fourth proportional to 11,571.36, 17,343.12 and 6,644.16 is: 9,958.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.36 : 17,343.12 = 6,644.16 : x
  2. Step 2: Convert to fraction form
    11,571.36/17,343.12 = 6,644.16/x
  3. Step 3: Cross multiply
    11,571.36x = 17,343.12 × 6,644.16
  4. Step 4: Simplify right side
    11,571.36x = 115,230,464.18
  5. Step 5: Solve for x
    x = 115,230,464.18/11,571.36
  6. Step 6: Final answer
    x = 9,958.25

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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.