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Finding the Fourth Proportional to 8,033.22, 12,042.90 and 3,867.50

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Solution

The fourth proportional to 8,033.22, 12,042.90 and 3,867.50 is: 5,797.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.22 : 12,042.90 = 3,867.50 : x
  2. Step 2: Convert to fraction form
    8,033.22/12,042.90 = 3,867.50/x
  3. Step 3: Cross multiply
    8,033.22x = 12,042.90 × 3,867.50
  4. Step 4: Simplify right side
    8,033.22x = 46,575,915.75
  5. Step 5: Solve for x
    x = 46,575,915.75/8,033.22
  6. Step 6: Final answer
    x = 5,797.91

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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.