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Finding the Fourth Proportional to 11,264.25, 16,896.44 and 3,056.25

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Solution

The fourth proportional to 11,264.25, 16,896.44 and 3,056.25 is: 4,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264.25 : 16,896.44 = 3,056.25 : x
  2. Step 2: Convert to fraction form
    11,264.25/16,896.44 = 3,056.25/x
  3. Step 3: Cross multiply
    11,264.25x = 16,896.44 × 3,056.25
  4. Step 4: Simplify right side
    11,264.25x = 51,639,729.47
  5. Step 5: Solve for x
    x = 51,639,729.47/11,264.25
  6. Step 6: Final answer
    x = 4,584.39

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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.