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Finding the Fourth Proportional to 10,933.86, 16,409.16 and 8,019.76

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Solution

The fourth proportional to 10,933.86, 16,409.16 and 8,019.76 is: 12,035.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,933.86 : 16,409.16 = 8,019.76 : x
  2. Step 2: Convert to fraction form
    10,933.86/16,409.16 = 8,019.76/x
  3. Step 3: Cross multiply
    10,933.86x = 16,409.16 × 8,019.76
  4. Step 4: Simplify right side
    10,933.86x = 131,597,525.00
  5. Step 5: Solve for x
    x = 131,597,525.00/10,933.86
  6. Step 6: Final answer
    x = 12,035.78

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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.