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Finding the Fourth Proportional to 10,853.92, 16,279.56 and 4,616.44

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Solution

The fourth proportional to 10,853.92, 16,279.56 and 4,616.44 is: 6,924.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.92 : 16,279.56 = 4,616.44 : x
  2. Step 2: Convert to fraction form
    10,853.92/16,279.56 = 4,616.44/x
  3. Step 3: Cross multiply
    10,853.92x = 16,279.56 × 4,616.44
  4. Step 4: Simplify right side
    10,853.92x = 75,153,611.97
  5. Step 5: Solve for x
    x = 75,153,611.97/10,853.92
  6. Step 6: Final answer
    x = 6,924.10

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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.