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Finding the Fourth Proportional to 8,274.87, 11,418.39 and 4,738.77

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Solution

The fourth proportional to 8,274.87, 11,418.39 and 4,738.77 is: 6,538.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.87 : 11,418.39 = 4,738.77 : x
  2. Step 2: Convert to fraction form
    8,274.87/11,418.39 = 4,738.77/x
  3. Step 3: Cross multiply
    8,274.87x = 11,418.39 × 4,738.77
  4. Step 4: Simplify right side
    8,274.87x = 54,109,123.98
  5. Step 5: Solve for x
    x = 54,109,123.98/8,274.87
  6. Step 6: Final answer
    x = 6,538.97

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