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Finding the Fourth Proportional to 11,596.47, 15,997.82 and 6,879.03

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Solution

The fourth proportional to 11,596.47, 15,997.82 and 6,879.03 is: 9,489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.47 : 15,997.82 = 6,879.03 : x
  2. Step 2: Convert to fraction form
    11,596.47/15,997.82 = 6,879.03/x
  3. Step 3: Cross multiply
    11,596.47x = 15,997.82 × 6,879.03
  4. Step 4: Simplify right side
    11,596.47x = 110,049,449.32
  5. Step 5: Solve for x
    x = 110,049,449.32/11,596.47
  6. Step 6: Final answer
    x = 9,489.91

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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.