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Finding the Fourth Proportional to 6,879.81, 10,321.54 and 4,214.44

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Solution

The fourth proportional to 6,879.81, 10,321.54 and 4,214.44 is: 6,322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,879.81 : 10,321.54 = 4,214.44 : x
  2. Step 2: Convert to fraction form
    6,879.81/10,321.54 = 4,214.44/x
  3. Step 3: Cross multiply
    6,879.81x = 10,321.54 × 4,214.44
  4. Step 4: Simplify right side
    6,879.81x = 43,499,474.70
  5. Step 5: Solve for x
    x = 43,499,474.70/6,879.81
  6. Step 6: Final answer
    x = 6,322.77

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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.