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Finding the Fourth Proportional to 8,374.14, 11,543.97 and 6,381.24

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Solution

The fourth proportional to 8,374.14, 11,543.97 and 6,381.24 is: 8,796.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.14 : 11,543.97 = 6,381.24 : x
  2. Step 2: Convert to fraction form
    8,374.14/11,543.97 = 6,381.24/x
  3. Step 3: Cross multiply
    8,374.14x = 11,543.97 × 6,381.24
  4. Step 4: Simplify right side
    8,374.14x = 73,664,843.12
  5. Step 5: Solve for x
    x = 73,664,843.12/8,374.14
  6. Step 6: Final answer
    x = 8,796.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.