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Finding the Fourth Proportional to 8,161.77, 12,218.09 and 5,242.26

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Solution

The fourth proportional to 8,161.77, 12,218.09 and 5,242.26 is: 7,847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.77 : 12,218.09 = 5,242.26 : x
  2. Step 2: Convert to fraction form
    8,161.77/12,218.09 = 5,242.26/x
  3. Step 3: Cross multiply
    8,161.77x = 12,218.09 × 5,242.26
  4. Step 4: Simplify right side
    8,161.77x = 64,050,378.27
  5. Step 5: Solve for x
    x = 64,050,378.27/8,161.77
  6. Step 6: Final answer
    x = 7,847.61

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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.