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Finding the Fourth Proportional to 6,311.34, 8,709.75 and 3,516.84

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Solution

The fourth proportional to 6,311.34, 8,709.75 and 3,516.84 is: 4,853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.34 : 8,709.75 = 3,516.84 : x
  2. Step 2: Convert to fraction form
    6,311.34/8,709.75 = 3,516.84/x
  3. Step 3: Cross multiply
    6,311.34x = 8,709.75 × 3,516.84
  4. Step 4: Simplify right side
    6,311.34x = 30,630,797.19
  5. Step 5: Solve for x
    x = 30,630,797.19/6,311.34
  6. Step 6: Final answer
    x = 4,853.30

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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.