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Finding the Fourth Proportional to 6,809.52, 10,213.56 and 3,110.79

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Solution

The fourth proportional to 6,809.52, 10,213.56 and 3,110.79 is: 4,665.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.52 : 10,213.56 = 3,110.79 : x
  2. Step 2: Convert to fraction form
    6,809.52/10,213.56 = 3,110.79/x
  3. Step 3: Cross multiply
    6,809.52x = 10,213.56 × 3,110.79
  4. Step 4: Simplify right side
    6,809.52x = 31,772,240.31
  5. Step 5: Solve for x
    x = 31,772,240.31/6,809.52
  6. Step 6: Final answer
    x = 4,665.86

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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.