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Finding the Fourth Proportional to 7,494.57, 11,238.53 and 2,299.23

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Solution

The fourth proportional to 7,494.57, 11,238.53 and 2,299.23 is: 3,447.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.57 : 11,238.53 = 2,299.23 : x
  2. Step 2: Convert to fraction form
    7,494.57/11,238.53 = 2,299.23/x
  3. Step 3: Cross multiply
    7,494.57x = 11,238.53 × 2,299.23
  4. Step 4: Simplify right side
    7,494.57x = 25,839,953.84
  5. Step 5: Solve for x
    x = 25,839,953.84/7,494.57
  6. Step 6: Final answer
    x = 3,447.82

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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.