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Finding the Fourth Proportional to 8,002.76, 12,003.98 and 3,617.15

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Solution

The fourth proportional to 8,002.76, 12,003.98 and 3,617.15 is: 5,425.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.76 : 12,003.98 = 3,617.15 : x
  2. Step 2: Convert to fraction form
    8,002.76/12,003.98 = 3,617.15/x
  3. Step 3: Cross multiply
    8,002.76x = 12,003.98 × 3,617.15
  4. Step 4: Simplify right side
    8,002.76x = 43,420,118.15
  5. Step 5: Solve for x
    x = 43,420,118.15/8,002.76
  6. Step 6: Final answer
    x = 5,425.65

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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.