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Finding the Fourth Proportional to 8,244.18, 12,361.82 and 3,857.63

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Solution

The fourth proportional to 8,244.18, 12,361.82 and 3,857.63 is: 5,784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,244.18 : 12,361.82 = 3,857.63 : x
  2. Step 2: Convert to fraction form
    8,244.18/12,361.82 = 3,857.63/x
  3. Step 3: Cross multiply
    8,244.18x = 12,361.82 × 3,857.63
  4. Step 4: Simplify right side
    8,244.18x = 47,687,246.59
  5. Step 5: Solve for x
    x = 47,687,246.59/8,244.18
  6. Step 6: Final answer
    x = 5,784.35

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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.