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Finding the Fourth Proportional to 11,182.32, 16,765.92 and 6,255.36

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Solution

The fourth proportional to 11,182.32, 16,765.92 and 6,255.36 is: 9,378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,182.32 : 16,765.92 = 6,255.36 : x
  2. Step 2: Convert to fraction form
    11,182.32/16,765.92 = 6,255.36/x
  3. Step 3: Cross multiply
    11,182.32x = 16,765.92 × 6,255.36
  4. Step 4: Simplify right side
    11,182.32x = 104,876,865.33
  5. Step 5: Solve for x
    x = 104,876,865.33/11,182.32
  6. Step 6: Final answer
    x = 9,378.81

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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.