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Finding the Fourth Proportional to 8,679.64, 13,002.03 and 3,993.14

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Solution

The fourth proportional to 8,679.64, 13,002.03 and 3,993.14 is: 5,981.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,679.64 : 13,002.03 = 3,993.14 : x
  2. Step 2: Convert to fraction form
    8,679.64/13,002.03 = 3,993.14/x
  3. Step 3: Cross multiply
    8,679.64x = 13,002.03 × 3,993.14
  4. Step 4: Simplify right side
    8,679.64x = 51,918,861.06
  5. Step 5: Solve for x
    x = 51,918,861.06/8,679.64
  6. Step 6: Final answer
    x = 5,981.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.