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Finding the Fourth Proportional to 7,793.73, 11,732.24 and 6,990

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Solution

The fourth proportional to 7,793.73, 11,732.24 and 6,990 is: 10,522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.73 : 11,732.24 = 6,990 : x
  2. Step 2: Convert to fraction form
    7,793.73/11,732.24 = 6,990/x
  3. Step 3: Cross multiply
    7,793.73x = 11,732.24 × 6,990
  4. Step 4: Simplify right side
    7,793.73x = 82,008,322.65
  5. Step 5: Solve for x
    x = 82,008,322.65/7,793.73
  6. Step 6: Final answer
    x = 10,522.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.