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Finding the Fourth Proportional to 8,396.84, 11,589.30 and 4,814.21

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Solution

The fourth proportional to 8,396.84, 11,589.30 and 4,814.21 is: 6,644.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.84 : 11,589.30 = 4,814.21 : x
  2. Step 2: Convert to fraction form
    8,396.84/11,589.30 = 4,814.21/x
  3. Step 3: Cross multiply
    8,396.84x = 11,589.30 × 4,814.21
  4. Step 4: Simplify right side
    8,396.84x = 55,793,253.97
  5. Step 5: Solve for x
    x = 55,793,253.97/8,396.84
  6. Step 6: Final answer
    x = 6,644.55

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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.