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Finding the Fourth Proportional to 11,961.42, 17,936.29 and 7,222.47

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Solution

The fourth proportional to 11,961.42, 17,936.29 and 7,222.47 is: 10,830.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.42 : 17,936.29 = 7,222.47 : x
  2. Step 2: Convert to fraction form
    11,961.42/17,936.29 = 7,222.47/x
  3. Step 3: Cross multiply
    11,961.42x = 17,936.29 × 7,222.47
  4. Step 4: Simplify right side
    11,961.42x = 129,544,217.58
  5. Step 5: Solve for x
    x = 129,544,217.58/11,961.42
  6. Step 6: Final answer
    x = 10,830.17

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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.