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Finding the Fourth Proportional to 6,311.44, 8,713.36 and 4,076.58

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Solution

The fourth proportional to 6,311.44, 8,713.36 and 4,076.58 is: 5,627.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.44 : 8,713.36 = 4,076.58 : x
  2. Step 2: Convert to fraction form
    6,311.44/8,713.36 = 4,076.58/x
  3. Step 3: Cross multiply
    6,311.44x = 8,713.36 × 4,076.58
  4. Step 4: Simplify right side
    6,311.44x = 35,520,709.11
  5. Step 5: Solve for x
    x = 35,520,709.11/6,311.44
  6. Step 6: Final answer
    x = 5,627.99

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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.