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Finding the Fourth Proportional to 7,392.12, 11,088.78 and 2,198

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Solution

The fourth proportional to 7,392.12, 11,088.78 and 2,198 is: 3,297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,392.12 : 11,088.78 = 2,198 : x
  2. Step 2: Convert to fraction form
    7,392.12/11,088.78 = 2,198/x
  3. Step 3: Cross multiply
    7,392.12x = 11,088.78 × 2,198
  4. Step 4: Simplify right side
    7,392.12x = 24,373,138.44
  5. Step 5: Solve for x
    x = 24,373,138.44/7,392.12
  6. Step 6: Final answer
    x = 3,297.18

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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.