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Finding the Fourth Proportional to 8,314.97, 11,474.69 and 4,777.96

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Solution

The fourth proportional to 8,314.97, 11,474.69 and 4,777.96 is: 6,593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.97 : 11,474.69 = 4,777.96 : x
  2. Step 2: Convert to fraction form
    8,314.97/11,474.69 = 4,777.96/x
  3. Step 3: Cross multiply
    8,314.97x = 11,474.69 × 4,777.96
  4. Step 4: Simplify right side
    8,314.97x = 54,825,609.83
  5. Step 5: Solve for x
    x = 54,825,609.83/8,314.97
  6. Step 6: Final answer
    x = 6,593.60

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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.