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Finding the Fourth Proportional to 8,033.66, 12,048.62 and 3,871.58

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Solution

The fourth proportional to 8,033.66, 12,048.62 and 3,871.58 is: 5,806.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.66 : 12,048.62 = 3,871.58 : x
  2. Step 2: Convert to fraction form
    8,033.66/12,048.62 = 3,871.58/x
  3. Step 3: Cross multiply
    8,033.66x = 12,048.62 × 3,871.58
  4. Step 4: Simplify right side
    8,033.66x = 46,647,196.22
  5. Step 5: Solve for x
    x = 46,647,196.22/8,033.66
  6. Step 6: Final answer
    x = 5,806.47

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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.