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Finding the Fourth Proportional to 11,896.44, 17,858.40 and 6,969.64

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Solution

The fourth proportional to 11,896.44, 17,858.40 and 6,969.64 is: 10,462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.44 : 17,858.40 = 6,969.64 : x
  2. Step 2: Convert to fraction form
    11,896.44/17,858.40 = 6,969.64/x
  3. Step 3: Cross multiply
    11,896.44x = 17,858.40 × 6,969.64
  4. Step 4: Simplify right side
    11,896.44x = 124,466,618.98
  5. Step 5: Solve for x
    x = 124,466,618.98/11,896.44
  6. Step 6: Final answer
    x = 10,462.51

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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.