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Finding the Fourth Proportional to 11,868.92, 16,380.34 and 6,833.32

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Solution

The fourth proportional to 11,868.92, 16,380.34 and 6,833.32 is: 9,430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.92 : 16,380.34 = 6,833.32 : x
  2. Step 2: Convert to fraction form
    11,868.92/16,380.34 = 6,833.32/x
  3. Step 3: Cross multiply
    11,868.92x = 16,380.34 × 6,833.32
  4. Step 4: Simplify right side
    11,868.92x = 111,932,104.93
  5. Step 5: Solve for x
    x = 111,932,104.93/11,868.92
  6. Step 6: Final answer
    x = 9,430.69

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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.