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Finding the Fourth Proportional to 11,464.37, 17,173.09 and 6,770.22

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Solution

The fourth proportional to 11,464.37, 17,173.09 and 6,770.22 is: 10,141.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.37 : 17,173.09 = 6,770.22 : x
  2. Step 2: Convert to fraction form
    11,464.37/17,173.09 = 6,770.22/x
  3. Step 3: Cross multiply
    11,464.37x = 17,173.09 × 6,770.22
  4. Step 4: Simplify right side
    11,464.37x = 116,265,597.38
  5. Step 5: Solve for x
    x = 116,265,597.38/11,464.37
  6. Step 6: Final answer
    x = 10,141.47

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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.