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Finding the Fourth Proportional to 8,185.66, 12,284.16 and 3,254.79

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Solution

The fourth proportional to 8,185.66, 12,284.16 and 3,254.79 is: 4,884.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.66 : 12,284.16 = 3,254.79 : x
  2. Step 2: Convert to fraction form
    8,185.66/12,284.16 = 3,254.79/x
  3. Step 3: Cross multiply
    8,185.66x = 12,284.16 × 3,254.79
  4. Step 4: Simplify right side
    8,185.66x = 39,982,361.13
  5. Step 5: Solve for x
    x = 39,982,361.13/8,185.66
  6. Step 6: Final answer
    x = 4,884.44

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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.