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Finding the Fourth Proportional to 8,278.76, 11,424.63 and 4,694.39

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Solution

The fourth proportional to 8,278.76, 11,424.63 and 4,694.39 is: 6,478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.76 : 11,424.63 = 4,694.39 : x
  2. Step 2: Convert to fraction form
    8,278.76/11,424.63 = 4,694.39/x
  3. Step 3: Cross multiply
    8,278.76x = 11,424.63 × 4,694.39
  4. Step 4: Simplify right side
    8,278.76x = 53,631,697.39
  5. Step 5: Solve for x
    x = 53,631,697.39/8,278.76
  6. Step 6: Final answer
    x = 6,478.23

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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.