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Finding the Fourth Proportional to 8,002.63, 12,003.81 and 3,617.02

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Solution

The fourth proportional to 8,002.63, 12,003.81 and 3,617.02 is: 5,425.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.63 : 12,003.81 = 3,617.02 : x
  2. Step 2: Convert to fraction form
    8,002.63/12,003.81 = 3,617.02/x
  3. Step 3: Cross multiply
    8,002.63x = 12,003.81 × 3,617.02
  4. Step 4: Simplify right side
    8,002.63x = 43,418,020.85
  5. Step 5: Solve for x
    x = 43,418,020.85/8,002.63
  6. Step 6: Final answer
    x = 5,425.47

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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.