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Finding the Fourth Proportional to 11,287.20, 16,940.40 and 5,056.80

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Solution

The fourth proportional to 11,287.20, 16,940.40 and 5,056.80 is: 7,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287.20 : 16,940.40 = 5,056.80 : x
  2. Step 2: Convert to fraction form
    11,287.20/16,940.40 = 5,056.80/x
  3. Step 3: Cross multiply
    11,287.20x = 16,940.40 × 5,056.80
  4. Step 4: Simplify right side
    11,287.20x = 85,664,214.72
  5. Step 5: Solve for x
    x = 85,664,214.72/11,287.20
  6. Step 6: Final answer
    x = 7,589.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.