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Finding the Fourth Proportional to 7,494.24, 10,342.09 and 4,136.99

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Solution

The fourth proportional to 7,494.24, 10,342.09 and 4,136.99 is: 5,709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.24 : 10,342.09 = 4,136.99 : x
  2. Step 2: Convert to fraction form
    7,494.24/10,342.09 = 4,136.99/x
  3. Step 3: Cross multiply
    7,494.24x = 10,342.09 × 4,136.99
  4. Step 4: Simplify right side
    7,494.24x = 42,785,102.22
  5. Step 5: Solve for x
    x = 42,785,102.22/7,494.24
  6. Step 6: Final answer
    x = 5,709.06

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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.