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Finding the Fourth Proportional to 7,997.49, 12,002.65 and 3,615.32

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Solution

The fourth proportional to 7,997.49, 12,002.65 and 3,615.32 is: 5,425.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.49 : 12,002.65 = 3,615.32 : x
  2. Step 2: Convert to fraction form
    7,997.49/12,002.65 = 3,615.32/x
  3. Step 3: Cross multiply
    7,997.49x = 12,002.65 × 3,615.32
  4. Step 4: Simplify right side
    7,997.49x = 43,393,441.57
  5. Step 5: Solve for x
    x = 43,393,441.57/7,997.49
  6. Step 6: Final answer
    x = 5,425.88

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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.