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Finding the Fourth Proportional to 11,735.35, 17,606.95 and 3,838.23

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Solution

The fourth proportional to 11,735.35, 17,606.95 and 3,838.23 is: 5,758.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.35 : 17,606.95 = 3,838.23 : x
  2. Step 2: Convert to fraction form
    11,735.35/17,606.95 = 3,838.23/x
  3. Step 3: Cross multiply
    11,735.35x = 17,606.95 × 3,838.23
  4. Step 4: Simplify right side
    11,735.35x = 67,579,523.70
  5. Step 5: Solve for x
    x = 67,579,523.70/11,735.35
  6. Step 6: Final answer
    x = 5,758.63

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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.