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Finding the Fourth Proportional to 8,289.24, 11,415.96 and 6,879

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Solution

The fourth proportional to 8,289.24, 11,415.96 and 6,879 is: 9,473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.24 : 11,415.96 = 6,879 : x
  2. Step 2: Convert to fraction form
    8,289.24/11,415.96 = 6,879/x
  3. Step 3: Cross multiply
    8,289.24x = 11,415.96 × 6,879
  4. Step 4: Simplify right side
    8,289.24x = 78,530,388.84
  5. Step 5: Solve for x
    x = 78,530,388.84/8,289.24
  6. Step 6: Final answer
    x = 9,473.77

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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.