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Finding the Fourth Proportional to 11,605.14, 17,408.52 and 3,814.02

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Solution

The fourth proportional to 11,605.14, 17,408.52 and 3,814.02 is: 5,721.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.14 : 17,408.52 = 3,814.02 : x
  2. Step 2: Convert to fraction form
    11,605.14/17,408.52 = 3,814.02/x
  3. Step 3: Cross multiply
    11,605.14x = 17,408.52 × 3,814.02
  4. Step 4: Simplify right side
    11,605.14x = 66,396,443.45
  5. Step 5: Solve for x
    x = 66,396,443.45/11,605.14
  6. Step 6: Final answer
    x = 5,721.30

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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.