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Finding the Fourth Proportional to 11,605.25, 17,408.28 and 3,814.67

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Solution

The fourth proportional to 11,605.25, 17,408.28 and 3,814.67 is: 5,722.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.25 : 17,408.28 = 3,814.67 : x
  2. Step 2: Convert to fraction form
    11,605.25/17,408.28 = 3,814.67/x
  3. Step 3: Cross multiply
    11,605.25x = 17,408.28 × 3,814.67
  4. Step 4: Simplify right side
    11,605.25x = 66,406,843.47
  5. Step 5: Solve for x
    x = 66,406,843.47/11,605.25
  6. Step 6: Final answer
    x = 5,722.14

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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.