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Finding the Fourth Proportional to 11,817.36, 16,310.73 and 7,344.48

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Solution

The fourth proportional to 11,817.36, 16,310.73 and 7,344.48 is: 10,137.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.36 : 16,310.73 = 7,344.48 : x
  2. Step 2: Convert to fraction form
    11,817.36/16,310.73 = 7,344.48/x
  3. Step 3: Cross multiply
    11,817.36x = 16,310.73 × 7,344.48
  4. Step 4: Simplify right side
    11,817.36x = 119,793,830.27
  5. Step 5: Solve for x
    x = 119,793,830.27/11,817.36
  6. Step 6: Final answer
    x = 10,137.11

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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.