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Finding the Fourth Proportional to 8,856.36, 13,286 and 3,311.64

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Solution

The fourth proportional to 8,856.36, 13,286 and 3,311.64 is: 4,968.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,856.36 : 13,286 = 3,311.64 : x
  2. Step 2: Convert to fraction form
    8,856.36/13,286 = 3,311.64/x
  3. Step 3: Cross multiply
    8,856.36x = 13,286 × 3,311.64
  4. Step 4: Simplify right side
    8,856.36x = 43,998,449.04
  5. Step 5: Solve for x
    x = 43,998,449.04/8,856.36
  6. Step 6: Final answer
    x = 4,968.01

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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.