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Finding the Fourth Proportional to 11,862.56, 17,796.38 and 3,965.76

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Solution

The fourth proportional to 11,862.56, 17,796.38 and 3,965.76 is: 5,949.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862.56 : 17,796.38 = 3,965.76 : x
  2. Step 2: Convert to fraction form
    11,862.56/17,796.38 = 3,965.76/x
  3. Step 3: Cross multiply
    11,862.56x = 17,796.38 × 3,965.76
  4. Step 4: Simplify right side
    11,862.56x = 70,576,171.95
  5. Step 5: Solve for x
    x = 70,576,171.95/11,862.56
  6. Step 6: Final answer
    x = 5,949.49

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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.