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Finding the Fourth Proportional to 7,892.34, 11,832.26 and 3,941.56

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Solution

The fourth proportional to 7,892.34, 11,832.26 and 3,941.56 is: 5,909.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.34 : 11,832.26 = 3,941.56 : x
  2. Step 2: Convert to fraction form
    7,892.34/11,832.26 = 3,941.56/x
  3. Step 3: Cross multiply
    7,892.34x = 11,832.26 × 3,941.56
  4. Step 4: Simplify right side
    7,892.34x = 46,637,562.73
  5. Step 5: Solve for x
    x = 46,637,562.73/7,892.34
  6. Step 6: Final answer
    x = 5,909.22

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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.