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Finding the Fourth Proportional to 7,308.36, 10,083.96 and 4,164.12

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Solution

The fourth proportional to 7,308.36, 10,083.96 and 4,164.12 is: 5,745.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,308.36 : 10,083.96 = 4,164.12 : x
  2. Step 2: Convert to fraction form
    7,308.36/10,083.96 = 4,164.12/x
  3. Step 3: Cross multiply
    7,308.36x = 10,083.96 × 4,164.12
  4. Step 4: Simplify right side
    7,308.36x = 41,990,819.52
  5. Step 5: Solve for x
    x = 41,990,819.52/7,308.36
  6. Step 6: Final answer
    x = 5,745.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.