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Finding the Fourth Proportional to 11,880.42, 16,394.94 and 7,164.96

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Solution

The fourth proportional to 11,880.42, 16,394.94 and 7,164.96 is: 9,887.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,880.42 : 16,394.94 = 7,164.96 : x
  2. Step 2: Convert to fraction form
    11,880.42/16,394.94 = 7,164.96/x
  3. Step 3: Cross multiply
    11,880.42x = 16,394.94 × 7,164.96
  4. Step 4: Simplify right side
    11,880.42x = 117,469,089.30
  5. Step 5: Solve for x
    x = 117,469,089.30/11,880.42
  6. Step 6: Final answer
    x = 9,887.62

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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.