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Finding the Fourth Proportional to 11,881.76, 17,825.67 and 3,561.44

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Solution

The fourth proportional to 11,881.76, 17,825.67 and 3,561.44 is: 5,343.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.76 : 17,825.67 = 3,561.44 : x
  2. Step 2: Convert to fraction form
    11,881.76/17,825.67 = 3,561.44/x
  3. Step 3: Cross multiply
    11,881.76x = 17,825.67 × 3,561.44
  4. Step 4: Simplify right side
    11,881.76x = 63,484,965.04
  5. Step 5: Solve for x
    x = 63,484,965.04/11,881.76
  6. Step 6: Final answer
    x = 5,343.06

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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.