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Finding the Fourth Proportional to 6,311.36, 8,709.66 and 3,516.86

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Solution

The fourth proportional to 6,311.36, 8,709.66 and 3,516.86 is: 4,853.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.36 : 8,709.66 = 3,516.86 : x
  2. Step 2: Convert to fraction form
    6,311.36/8,709.66 = 3,516.86/x
  3. Step 3: Cross multiply
    6,311.36x = 8,709.66 × 3,516.86
  4. Step 4: Simplify right side
    6,311.36x = 30,630,611.32
  5. Step 5: Solve for x
    x = 30,630,611.32/6,311.36
  6. Step 6: Final answer
    x = 4,853.25

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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.