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Finding the Fourth Proportional to 7,462.91, 10,297.96 and 4,105.41

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Solution

The fourth proportional to 7,462.91, 10,297.96 and 4,105.41 is: 5,664.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.91 : 10,297.96 = 4,105.41 : x
  2. Step 2: Convert to fraction form
    7,462.91/10,297.96 = 4,105.41/x
  3. Step 3: Cross multiply
    7,462.91x = 10,297.96 × 4,105.41
  4. Step 4: Simplify right side
    7,462.91x = 42,277,337.70
  5. Step 5: Solve for x
    x = 42,277,337.70/7,462.91
  6. Step 6: Final answer
    x = 5,664.99

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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.