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Finding the Fourth Proportional to 11,986.20, 17,976.78 and 3,219

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Solution

The fourth proportional to 11,986.20, 17,976.78 and 3,219 is: 4,827.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,986.20 : 17,976.78 = 3,219 : x
  2. Step 2: Convert to fraction form
    11,986.20/17,976.78 = 3,219/x
  3. Step 3: Cross multiply
    11,986.20x = 17,976.78 × 3,219
  4. Step 4: Simplify right side
    11,986.20x = 57,867,254.82
  5. Step 5: Solve for x
    x = 57,867,254.82/11,986.20
  6. Step 6: Final answer
    x = 4,827.82

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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.