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Finding the Fourth Proportional to 11,832.10, 17,755 and 4,441.70

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Solution

The fourth proportional to 11,832.10, 17,755 and 4,441.70 is: 6,665.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.10 : 17,755 = 4,441.70 : x
  2. Step 2: Convert to fraction form
    11,832.10/17,755 = 4,441.70/x
  3. Step 3: Cross multiply
    11,832.10x = 17,755 × 4,441.70
  4. Step 4: Simplify right side
    11,832.10x = 78,862,383.50
  5. Step 5: Solve for x
    x = 78,862,383.50/11,832.10
  6. Step 6: Final answer
    x = 6,665.12

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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.