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Finding the Fourth Proportional to 12,911.26, 19,367 and 5,511.91

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Solution

The fourth proportional to 12,911.26, 19,367 and 5,511.91 is: 8,267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911.26 : 19,367 = 5,511.91 : x
  2. Step 2: Convert to fraction form
    12,911.26/19,367 = 5,511.91/x
  3. Step 3: Cross multiply
    12,911.26x = 19,367 × 5,511.91
  4. Step 4: Simplify right side
    12,911.26x = 106,749,160.97
  5. Step 5: Solve for x
    x = 106,749,160.97/12,911.26
  6. Step 6: Final answer
    x = 8,267.91

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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.