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Finding the Fourth Proportional to 7,892.10, 11,832.15 and 3,999.30

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Solution

The fourth proportional to 7,892.10, 11,832.15 and 3,999.30 is: 5,995.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.10 : 11,832.15 = 3,999.30 : x
  2. Step 2: Convert to fraction form
    7,892.10/11,832.15 = 3,999.30/x
  3. Step 3: Cross multiply
    7,892.10x = 11,832.15 × 3,999.30
  4. Step 4: Simplify right side
    7,892.10x = 47,320,317.50
  5. Step 5: Solve for x
    x = 47,320,317.50/7,892.10
  6. Step 6: Final answer
    x = 5,995.91

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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.