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Finding the Fourth Proportional to 8,548.32, 11,796.36 and 4,771.44

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Solution

The fourth proportional to 8,548.32, 11,796.36 and 4,771.44 is: 6,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.32 : 11,796.36 = 4,771.44 : x
  2. Step 2: Convert to fraction form
    8,548.32/11,796.36 = 4,771.44/x
  3. Step 3: Cross multiply
    8,548.32x = 11,796.36 × 4,771.44
  4. Step 4: Simplify right side
    8,548.32x = 56,285,623.96
  5. Step 5: Solve for x
    x = 56,285,623.96/8,548.32
  6. Step 6: Final answer
    x = 6,584.41

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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.