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Finding the Fourth Proportional to 11,197.10, 16,783.04 and 6,755.88

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Solution

The fourth proportional to 11,197.10, 16,783.04 and 6,755.88 is: 10,126.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197.10 : 16,783.04 = 6,755.88 : x
  2. Step 2: Convert to fraction form
    11,197.10/16,783.04 = 6,755.88/x
  3. Step 3: Cross multiply
    11,197.10x = 16,783.04 × 6,755.88
  4. Step 4: Simplify right side
    11,197.10x = 113,384,204.28
  5. Step 5: Solve for x
    x = 113,384,204.28/11,197.10
  6. Step 6: Final answer
    x = 10,126.21

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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.