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Finding the Fourth Proportional to 7,818.62, 11,727.32 and 3,138.44

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Solution

The fourth proportional to 7,818.62, 11,727.32 and 3,138.44 is: 4,707.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818.62 : 11,727.32 = 3,138.44 : x
  2. Step 2: Convert to fraction form
    7,818.62/11,727.32 = 3,138.44/x
  3. Step 3: Cross multiply
    7,818.62x = 11,727.32 × 3,138.44
  4. Step 4: Simplify right side
    7,818.62x = 36,805,415.85
  5. Step 5: Solve for x
    x = 36,805,415.85/7,818.62
  6. Step 6: Final answer
    x = 4,707.41

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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.