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Finding the Fourth Proportional to 8,278.70, 11,424.38 and 4,694.31

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Solution

The fourth proportional to 8,278.70, 11,424.38 and 4,694.31 is: 6,478.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.70 : 11,424.38 = 4,694.31 : x
  2. Step 2: Convert to fraction form
    8,278.70/11,424.38 = 4,694.31/x
  3. Step 3: Cross multiply
    8,278.70x = 11,424.38 × 4,694.31
  4. Step 4: Simplify right side
    8,278.70x = 53,629,557.81
  5. Step 5: Solve for x
    x = 53,629,557.81/8,278.70
  6. Step 6: Final answer
    x = 6,478.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.