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Finding the Fourth Proportional to 7,850.05, 11,779.17 and 3,171.22

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Solution

The fourth proportional to 7,850.05, 11,779.17 and 3,171.22 is: 4,758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.05 : 11,779.17 = 3,171.22 : x
  2. Step 2: Convert to fraction form
    7,850.05/11,779.17 = 3,171.22/x
  3. Step 3: Cross multiply
    7,850.05x = 11,779.17 × 3,171.22
  4. Step 4: Simplify right side
    7,850.05x = 37,354,339.49
  5. Step 5: Solve for x
    x = 37,354,339.49/7,850.05
  6. Step 6: Final answer
    x = 4,758.48

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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.