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Finding the Fourth Proportional to 7,940.25, 11,950.26 and 5,976.06

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Solution

The fourth proportional to 7,940.25, 11,950.26 and 5,976.06 is: 8,994.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.25 : 11,950.26 = 5,976.06 : x
  2. Step 2: Convert to fraction form
    7,940.25/11,950.26 = 5,976.06/x
  3. Step 3: Cross multiply
    7,940.25x = 11,950.26 × 5,976.06
  4. Step 4: Simplify right side
    7,940.25x = 71,415,470.78
  5. Step 5: Solve for x
    x = 71,415,470.78/7,940.25
  6. Step 6: Final answer
    x = 8,994.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.