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Finding the Fourth Proportional to 7,896.39, 11,847.35 and 3,514.24

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Solution

The fourth proportional to 7,896.39, 11,847.35 and 3,514.24 is: 5,272.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.39 : 11,847.35 = 3,514.24 : x
  2. Step 2: Convert to fraction form
    7,896.39/11,847.35 = 3,514.24/x
  3. Step 3: Cross multiply
    7,896.39x = 11,847.35 × 3,514.24
  4. Step 4: Simplify right side
    7,896.39x = 41,634,431.26
  5. Step 5: Solve for x
    x = 41,634,431.26/7,896.39
  6. Step 6: Final answer
    x = 5,272.59

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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.