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Finding the Fourth Proportional to 7,879.50, 10,871.80 and 5,190.43

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Solution

The fourth proportional to 7,879.50, 10,871.80 and 5,190.43 is: 7,161.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879.50 : 10,871.80 = 5,190.43 : x
  2. Step 2: Convert to fraction form
    7,879.50/10,871.80 = 5,190.43/x
  3. Step 3: Cross multiply
    7,879.50x = 10,871.80 × 5,190.43
  4. Step 4: Simplify right side
    7,879.50x = 56,429,316.87
  5. Step 5: Solve for x
    x = 56,429,316.87/7,879.50
  6. Step 6: Final answer
    x = 7,161.54

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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.