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Finding the Fourth Proportional to 7,976.93, 11,965.40 and 3,589.26

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Solution

The fourth proportional to 7,976.93, 11,965.40 and 3,589.26 is: 5,383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.93 : 11,965.40 = 3,589.26 : x
  2. Step 2: Convert to fraction form
    7,976.93/11,965.40 = 3,589.26/x
  3. Step 3: Cross multiply
    7,976.93x = 11,965.40 × 3,589.26
  4. Step 4: Simplify right side
    7,976.93x = 42,946,949.55
  5. Step 5: Solve for x
    x = 42,946,949.55/7,976.93
  6. Step 6: Final answer
    x = 5,383.89

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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.