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Finding the Fourth Proportional to 12,357.12, 17,054.56 and 7,879.44

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Solution

The fourth proportional to 12,357.12, 17,054.56 and 7,879.44 is: 10,874.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.12 : 17,054.56 = 7,879.44 : x
  2. Step 2: Convert to fraction form
    12,357.12/17,054.56 = 7,879.44/x
  3. Step 3: Cross multiply
    12,357.12x = 17,054.56 × 7,879.44
  4. Step 4: Simplify right side
    12,357.12x = 134,380,382.25
  5. Step 5: Solve for x
    x = 134,380,382.25/12,357.12
  6. Step 6: Final answer
    x = 10,874.73

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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.