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Finding the Fourth Proportional to 6,738.44, 10,072.06 and 5,853.92

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Solution

The fourth proportional to 6,738.44, 10,072.06 and 5,853.92 is: 8,749.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.44 : 10,072.06 = 5,853.92 : x
  2. Step 2: Convert to fraction form
    6,738.44/10,072.06 = 5,853.92/x
  3. Step 3: Cross multiply
    6,738.44x = 10,072.06 × 5,853.92
  4. Step 4: Simplify right side
    6,738.44x = 58,961,033.48
  5. Step 5: Solve for x
    x = 58,961,033.48/6,738.44
  6. Step 6: Final answer
    x = 8,749.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.