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Finding the Fourth Proportional to 7,883.33, 11,814.77 and 3,197.88

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Solution

The fourth proportional to 7,883.33, 11,814.77 and 3,197.88 is: 4,792.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.33 : 11,814.77 = 3,197.88 : x
  2. Step 2: Convert to fraction form
    7,883.33/11,814.77 = 3,197.88/x
  3. Step 3: Cross multiply
    7,883.33x = 11,814.77 × 3,197.88
  4. Step 4: Simplify right side
    7,883.33x = 37,782,224.68
  5. Step 5: Solve for x
    x = 37,782,224.68/7,883.33
  6. Step 6: Final answer
    x = 4,792.68

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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.