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Finding the Fourth Proportional to 8,906.69, 13,370.39 and 5,211.57

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Solution

The fourth proportional to 8,906.69, 13,370.39 and 5,211.57 is: 7,823.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.69 : 13,370.39 = 5,211.57 : x
  2. Step 2: Convert to fraction form
    8,906.69/13,370.39 = 5,211.57/x
  3. Step 3: Cross multiply
    8,906.69x = 13,370.39 × 5,211.57
  4. Step 4: Simplify right side
    8,906.69x = 69,680,697.35
  5. Step 5: Solve for x
    x = 69,680,697.35/8,906.69
  6. Step 6: Final answer
    x = 7,823.41

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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.