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Finding the Fourth Proportional to 8,334.91, 11,454.08 and 7,949.44

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Solution

The fourth proportional to 8,334.91, 11,454.08 and 7,949.44 is: 10,924.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,334.91 : 11,454.08 = 7,949.44 : x
  2. Step 2: Convert to fraction form
    8,334.91/11,454.08 = 7,949.44/x
  3. Step 3: Cross multiply
    8,334.91x = 11,454.08 × 7,949.44
  4. Step 4: Simplify right side
    8,334.91x = 91,053,521.72
  5. Step 5: Solve for x
    x = 91,053,521.72/8,334.91
  6. Step 6: Final answer
    x = 10,924.36

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.