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Finding the Fourth Proportional to 7,976.62, 11,006.49 and 4,619.71

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Solution

The fourth proportional to 7,976.62, 11,006.49 and 4,619.71 is: 6,374.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.62 : 11,006.49 = 4,619.71 : x
  2. Step 2: Convert to fraction form
    7,976.62/11,006.49 = 4,619.71/x
  3. Step 3: Cross multiply
    7,976.62x = 11,006.49 × 4,619.71
  4. Step 4: Simplify right side
    7,976.62x = 50,846,791.92
  5. Step 5: Solve for x
    x = 50,846,791.92/7,976.62
  6. Step 6: Final answer
    x = 6,374.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.