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Finding the Fourth Proportional to 8,450.44, 11,654.76 and 6,457.84

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Solution

The fourth proportional to 8,450.44, 11,654.76 and 6,457.84 is: 8,906.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,450.44 : 11,654.76 = 6,457.84 : x
  2. Step 2: Convert to fraction form
    8,450.44/11,654.76 = 6,457.84/x
  3. Step 3: Cross multiply
    8,450.44x = 11,654.76 × 6,457.84
  4. Step 4: Simplify right side
    8,450.44x = 75,264,575.32
  5. Step 5: Solve for x
    x = 75,264,575.32/8,450.44
  6. Step 6: Final answer
    x = 8,906.59

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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.