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Finding the Fourth Proportional to 7,297.16, 10,949.31 and 4,523.09

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Solution

The fourth proportional to 7,297.16, 10,949.31 and 4,523.09 is: 6,786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.16 : 10,949.31 = 4,523.09 : x
  2. Step 2: Convert to fraction form
    7,297.16/10,949.31 = 4,523.09/x
  3. Step 3: Cross multiply
    7,297.16x = 10,949.31 × 4,523.09
  4. Step 4: Simplify right side
    7,297.16x = 49,524,721.41
  5. Step 5: Solve for x
    x = 49,524,721.41/7,297.16
  6. Step 6: Final answer
    x = 6,786.85

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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.