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Finding the Fourth Proportional to 11,634.27, 17,437.11 and 5,385.81

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Solution

The fourth proportional to 11,634.27, 17,437.11 and 5,385.81 is: 8,072.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.27 : 17,437.11 = 5,385.81 : x
  2. Step 2: Convert to fraction form
    11,634.27/17,437.11 = 5,385.81/x
  3. Step 3: Cross multiply
    11,634.27x = 17,437.11 × 5,385.81
  4. Step 4: Simplify right side
    11,634.27x = 93,912,961.41
  5. Step 5: Solve for x
    x = 93,912,961.41/11,634.27
  6. Step 6: Final answer
    x = 8,072.10

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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.