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Finding the Fourth Proportional to 7,892.68, 11,846.22 and 3,999.76

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Solution

The fourth proportional to 7,892.68, 11,846.22 and 3,999.76 is: 6,003.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.68 : 11,846.22 = 3,999.76 : x
  2. Step 2: Convert to fraction form
    7,892.68/11,846.22 = 3,999.76/x
  3. Step 3: Cross multiply
    7,892.68x = 11,846.22 × 3,999.76
  4. Step 4: Simplify right side
    7,892.68x = 47,382,036.91
  5. Step 5: Solve for x
    x = 47,382,036.91/7,892.68
  6. Step 6: Final answer
    x = 6,003.29

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