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Finding the Fourth Proportional to 11,264.40, 16,896.60 and 3,056.40

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Solution

The fourth proportional to 11,264.40, 16,896.60 and 3,056.40 is: 4,584.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264.40 : 16,896.60 = 3,056.40 : x
  2. Step 2: Convert to fraction form
    11,264.40/16,896.60 = 3,056.40/x
  3. Step 3: Cross multiply
    11,264.40x = 16,896.60 × 3,056.40
  4. Step 4: Simplify right side
    11,264.40x = 51,642,768.24
  5. Step 5: Solve for x
    x = 51,642,768.24/11,264.40
  6. Step 6: Final answer
    x = 4,584.60

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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.