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Finding the Fourth Proportional to 11,105.90, 16,658.37 and 6,172.41

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Solution

The fourth proportional to 11,105.90, 16,658.37 and 6,172.41 is: 9,258.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.90 : 16,658.37 = 6,172.41 : x
  2. Step 2: Convert to fraction form
    11,105.90/16,658.37 = 6,172.41/x
  3. Step 3: Cross multiply
    11,105.90x = 16,658.37 × 6,172.41
  4. Step 4: Simplify right side
    11,105.90x = 102,822,289.57
  5. Step 5: Solve for x
    x = 102,822,289.57/11,105.90
  6. Step 6: Final answer
    x = 9,258.35

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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.