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Finding the Fourth Proportional to 11,229.12, 16,847.70 and 4,815

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Solution

The fourth proportional to 11,229.12, 16,847.70 and 4,815 is: 7,224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229.12 : 16,847.70 = 4,815 : x
  2. Step 2: Convert to fraction form
    11,229.12/16,847.70 = 4,815/x
  3. Step 3: Cross multiply
    11,229.12x = 16,847.70 × 4,815
  4. Step 4: Simplify right side
    11,229.12x = 81,121,675.50
  5. Step 5: Solve for x
    x = 81,121,675.50/11,229.12
  6. Step 6: Final answer
    x = 7,224.22

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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.