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Finding the Fourth Proportional to 11,838.81, 17,758.25 and 3,073.80

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Solution

The fourth proportional to 11,838.81, 17,758.25 and 3,073.80 is: 4,610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.81 : 17,758.25 = 3,073.80 : x
  2. Step 2: Convert to fraction form
    11,838.81/17,758.25 = 3,073.80/x
  3. Step 3: Cross multiply
    11,838.81x = 17,758.25 × 3,073.80
  4. Step 4: Simplify right side
    11,838.81x = 54,585,308.85
  5. Step 5: Solve for x
    x = 54,585,308.85/11,838.81
  6. Step 6: Final answer
    x = 4,610.71

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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.