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Finding the Fourth Proportional to 8,033.16, 12,050.22 and 3,102.83

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Solution

The fourth proportional to 8,033.16, 12,050.22 and 3,102.83 is: 4,654.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.16 : 12,050.22 = 3,102.83 : x
  2. Step 2: Convert to fraction form
    8,033.16/12,050.22 = 3,102.83/x
  3. Step 3: Cross multiply
    8,033.16x = 12,050.22 × 3,102.83
  4. Step 4: Simplify right side
    8,033.16x = 37,389,784.12
  5. Step 5: Solve for x
    x = 37,389,784.12/8,033.16
  6. Step 6: Final answer
    x = 4,654.43

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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.