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Finding the Fourth Proportional to 11,644.05, 17,468.87 and 5,072.12

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Solution

The fourth proportional to 11,644.05, 17,468.87 and 5,072.12 is: 7,609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.05 : 17,468.87 = 5,072.12 : x
  2. Step 2: Convert to fraction form
    11,644.05/17,468.87 = 5,072.12/x
  3. Step 3: Cross multiply
    11,644.05x = 17,468.87 × 5,072.12
  4. Step 4: Simplify right side
    11,644.05x = 88,604,157.71
  5. Step 5: Solve for x
    x = 88,604,157.71/11,644.05
  6. Step 6: Final answer
    x = 7,609.39

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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.