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Finding the Fourth Proportional to 8,033.12, 12,046.64 and 3,871.74

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Solution

The fourth proportional to 8,033.12, 12,046.64 and 3,871.74 is: 5,806.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.12 : 12,046.64 = 3,871.74 : x
  2. Step 2: Convert to fraction form
    8,033.12/12,046.64 = 3,871.74/x
  3. Step 3: Cross multiply
    8,033.12x = 12,046.64 × 3,871.74
  4. Step 4: Simplify right side
    8,033.12x = 46,641,438.59
  5. Step 5: Solve for x
    x = 46,641,438.59/8,033.12
  6. Step 6: Final answer
    x = 5,806.15

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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.