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Finding the Fourth Proportional to 7,814.80, 10,786.26 and 5,162.32

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Solution

The fourth proportional to 7,814.80, 10,786.26 and 5,162.32 is: 7,125.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.80 : 10,786.26 = 5,162.32 : x
  2. Step 2: Convert to fraction form
    7,814.80/10,786.26 = 5,162.32/x
  3. Step 3: Cross multiply
    7,814.80x = 10,786.26 × 5,162.32
  4. Step 4: Simplify right side
    7,814.80x = 55,682,125.72
  5. Step 5: Solve for x
    x = 55,682,125.72/7,814.80
  6. Step 6: Final answer
    x = 7,125.21

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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.