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Finding the Fourth Proportional to 8,408.80, 11,607.06 and 5,764.96

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Solution

The fourth proportional to 8,408.80, 11,607.06 and 5,764.96 is: 7,957.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.80 : 11,607.06 = 5,764.96 : x
  2. Step 2: Convert to fraction form
    8,408.80/11,607.06 = 5,764.96/x
  3. Step 3: Cross multiply
    8,408.80x = 11,607.06 × 5,764.96
  4. Step 4: Simplify right side
    8,408.80x = 66,914,236.62
  5. Step 5: Solve for x
    x = 66,914,236.62/8,408.80
  6. Step 6: Final answer
    x = 7,957.64

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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.