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Finding the Fourth Proportional to 8,151.78, 11,254.23 and 5,911.50

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Solution

The fourth proportional to 8,151.78, 11,254.23 and 5,911.50 is: 8,161.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.78 : 11,254.23 = 5,911.50 : x
  2. Step 2: Convert to fraction form
    8,151.78/11,254.23 = 5,911.50/x
  3. Step 3: Cross multiply
    8,151.78x = 11,254.23 × 5,911.50
  4. Step 4: Simplify right side
    8,151.78x = 66,529,380.65
  5. Step 5: Solve for x
    x = 66,529,380.65/8,151.78
  6. Step 6: Final answer
    x = 8,161.33

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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.