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Finding the Fourth Proportional to 7,284.69, 10,906.26 and 5,536.80

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Solution

The fourth proportional to 7,284.69, 10,906.26 and 5,536.80 is: 8,289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.69 : 10,906.26 = 5,536.80 : x
  2. Step 2: Convert to fraction form
    7,284.69/10,906.26 = 5,536.80/x
  3. Step 3: Cross multiply
    7,284.69x = 10,906.26 × 5,536.80
  4. Step 4: Simplify right side
    7,284.69x = 60,385,780.37
  5. Step 5: Solve for x
    x = 60,385,780.37/7,284.69
  6. Step 6: Final answer
    x = 8,289.41

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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.