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Finding the Fourth Proportional to 7,892.30, 11,832.96 and 3,729.98

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Solution

The fourth proportional to 7,892.30, 11,832.96 and 3,729.98 is: 5,592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.30 : 11,832.96 = 3,729.98 : x
  2. Step 2: Convert to fraction form
    7,892.30/11,832.96 = 3,729.98/x
  3. Step 3: Cross multiply
    7,892.30x = 11,832.96 × 3,729.98
  4. Step 4: Simplify right side
    7,892.30x = 44,136,704.14
  5. Step 5: Solve for x
    x = 44,136,704.14/7,892.30
  6. Step 6: Final answer
    x = 5,592.38

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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.