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Finding the Fourth Proportional to 11,830.26, 17,745.39 and 6,639.78

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Solution

The fourth proportional to 11,830.26, 17,745.39 and 6,639.78 is: 9,959.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.26 : 17,745.39 = 6,639.78 : x
  2. Step 2: Convert to fraction form
    11,830.26/17,745.39 = 6,639.78/x
  3. Step 3: Cross multiply
    11,830.26x = 17,745.39 × 6,639.78
  4. Step 4: Simplify right side
    11,830.26x = 117,825,396.89
  5. Step 5: Solve for x
    x = 117,825,396.89/11,830.26
  6. Step 6: Final answer
    x = 9,959.67

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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.