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Finding the Fourth Proportional to 8,618.26, 11,897.74 and 5,800.44

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Solution

The fourth proportional to 8,618.26, 11,897.74 and 5,800.44 is: 8,007.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,618.26 : 11,897.74 = 5,800.44 : x
  2. Step 2: Convert to fraction form
    8,618.26/11,897.74 = 5,800.44/x
  3. Step 3: Cross multiply
    8,618.26x = 11,897.74 × 5,800.44
  4. Step 4: Simplify right side
    8,618.26x = 69,012,146.25
  5. Step 5: Solve for x
    x = 69,012,146.25/8,618.26
  6. Step 6: Final answer
    x = 8,007.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.