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Finding the Fourth Proportional to 11,165, 16,748.08 and 3,267.48

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Solution

The fourth proportional to 11,165, 16,748.08 and 3,267.48 is: 4,901.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165 : 16,748.08 = 3,267.48 : x
  2. Step 2: Convert to fraction form
    11,165/16,748.08 = 3,267.48/x
  3. Step 3: Cross multiply
    11,165x = 16,748.08 × 3,267.48
  4. Step 4: Simplify right side
    11,165x = 54,724,016.44
  5. Step 5: Solve for x
    x = 54,724,016.44/11,165
  6. Step 6: Final answer
    x = 4,901.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.