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Finding the Fourth Proportional to 11,676.96, 17,515.44 and 5,830.38

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Solution

The fourth proportional to 11,676.96, 17,515.44 and 5,830.38 is: 8,745.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.96 : 17,515.44 = 5,830.38 : x
  2. Step 2: Convert to fraction form
    11,676.96/17,515.44 = 5,830.38/x
  3. Step 3: Cross multiply
    11,676.96x = 17,515.44 × 5,830.38
  4. Step 4: Simplify right side
    11,676.96x = 102,121,671.07
  5. Step 5: Solve for x
    x = 102,121,671.07/11,676.96
  6. Step 6: Final answer
    x = 8,745.57

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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.