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Finding the Fourth Proportional to 8,059.44, 12,086.73 and 2,865

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Solution

The fourth proportional to 8,059.44, 12,086.73 and 2,865 is: 4,296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,059.44 : 12,086.73 = 2,865 : x
  2. Step 2: Convert to fraction form
    8,059.44/12,086.73 = 2,865/x
  3. Step 3: Cross multiply
    8,059.44x = 12,086.73 × 2,865
  4. Step 4: Simplify right side
    8,059.44x = 34,628,481.45
  5. Step 5: Solve for x
    x = 34,628,481.45/8,059.44
  6. Step 6: Final answer
    x = 4,296.64

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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.