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Finding the Fourth Proportional to 8,408.64, 11,519.89 and 8,093.35

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Solution

The fourth proportional to 8,408.64, 11,519.89 and 8,093.35 is: 11,087.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.64 : 11,519.89 = 8,093.35 : x
  2. Step 2: Convert to fraction form
    8,408.64/11,519.89 = 8,093.35/x
  3. Step 3: Cross multiply
    8,408.64x = 11,519.89 × 8,093.35
  4. Step 4: Simplify right side
    8,408.64x = 93,234,541.42
  5. Step 5: Solve for x
    x = 93,234,541.42/8,408.64
  6. Step 6: Final answer
    x = 11,087.94

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.