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Finding the Fourth Proportional to 11,003.86, 15,185.19 and 5,968

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Solution

The fourth proportional to 11,003.86, 15,185.19 and 5,968 is: 8,235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,003.86 : 15,185.19 = 5,968 : x
  2. Step 2: Convert to fraction form
    11,003.86/15,185.19 = 5,968/x
  3. Step 3: Cross multiply
    11,003.86x = 15,185.19 × 5,968
  4. Step 4: Simplify right side
    11,003.86x = 90,625,213.92
  5. Step 5: Solve for x
    x = 90,625,213.92/11,003.86
  6. Step 6: Final answer
    x = 8,235.77

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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.