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Finding the Fourth Proportional to 11,408.56, 17,112.94 and 4,013.07

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Solution

The fourth proportional to 11,408.56, 17,112.94 and 4,013.07 is: 6,019.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408.56 : 17,112.94 = 4,013.07 : x
  2. Step 2: Convert to fraction form
    11,408.56/17,112.94 = 4,013.07/x
  3. Step 3: Cross multiply
    11,408.56x = 17,112.94 × 4,013.07
  4. Step 4: Simplify right side
    11,408.56x = 68,675,480.27
  5. Step 5: Solve for x
    x = 68,675,480.27/11,408.56
  6. Step 6: Final answer
    x = 6,019.65

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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.