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Finding the Fourth Proportional to 6,848, 10,279.40 and 3,392.56

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Solution

The fourth proportional to 6,848, 10,279.40 and 3,392.56 is: 5,092.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848 : 10,279.40 = 3,392.56 : x
  2. Step 2: Convert to fraction form
    6,848/10,279.40 = 3,392.56/x
  3. Step 3: Cross multiply
    6,848x = 10,279.40 × 3,392.56
  4. Step 4: Simplify right side
    6,848x = 34,873,481.26
  5. Step 5: Solve for x
    x = 34,873,481.26/6,848
  6. Step 6: Final answer
    x = 5,092.51

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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.