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Finding the Fourth Proportional to 8,016, 12,022.35 and 3,083.94

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Solution

The fourth proportional to 8,016, 12,022.35 and 3,083.94 is: 4,625.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,016 : 12,022.35 = 3,083.94 : x
  2. Step 2: Convert to fraction form
    8,016/12,022.35 = 3,083.94/x
  3. Step 3: Cross multiply
    8,016x = 12,022.35 × 3,083.94
  4. Step 4: Simplify right side
    8,016x = 37,076,206.06
  5. Step 5: Solve for x
    x = 37,076,206.06/8,016
  6. Step 6: Final answer
    x = 4,625.28

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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.