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Finding the Fourth Proportional to 11,866.80, 16,378.91 and 6,833.92

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Solution

The fourth proportional to 11,866.80, 16,378.91 and 6,833.92 is: 9,432.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.80 : 16,378.91 = 6,833.92 : x
  2. Step 2: Convert to fraction form
    11,866.80/16,378.91 = 6,833.92/x
  3. Step 3: Cross multiply
    11,866.80x = 16,378.91 × 6,833.92
  4. Step 4: Simplify right side
    11,866.80x = 111,932,141.85
  5. Step 5: Solve for x
    x = 111,932,141.85/11,866.80
  6. Step 6: Final answer
    x = 9,432.37

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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.