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Finding the Fourth Proportional to 11,264, 16,896.06 and 3,056

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Solution

The fourth proportional to 11,264, 16,896.06 and 3,056 is: 4,584.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264 : 16,896.06 = 3,056 : x
  2. Step 2: Convert to fraction form
    11,264/16,896.06 = 3,056/x
  3. Step 3: Cross multiply
    11,264x = 16,896.06 × 3,056
  4. Step 4: Simplify right side
    11,264x = 51,634,359.36
  5. Step 5: Solve for x
    x = 51,634,359.36/11,264
  6. Step 6: Final answer
    x = 4,584.02

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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.