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Finding the Fourth Proportional to 8,614.81, 11,884.75 and 6,381.91

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Solution

The fourth proportional to 8,614.81, 11,884.75 and 6,381.91 is: 8,804.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.81 : 11,884.75 = 6,381.91 : x
  2. Step 2: Convert to fraction form
    8,614.81/11,884.75 = 6,381.91/x
  3. Step 3: Cross multiply
    8,614.81x = 11,884.75 × 6,381.91
  4. Step 4: Simplify right side
    8,614.81x = 75,847,404.87
  5. Step 5: Solve for x
    x = 75,847,404.87/8,614.81
  6. Step 6: Final answer
    x = 8,804.30

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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.