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Finding the Fourth Proportional to 11,975.20, 16,523.84 and 6,939.88

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Solution

The fourth proportional to 11,975.20, 16,523.84 and 6,939.88 is: 9,575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,975.20 : 16,523.84 = 6,939.88 : x
  2. Step 2: Convert to fraction form
    11,975.20/16,523.84 = 6,939.88/x
  3. Step 3: Cross multiply
    11,975.20x = 16,523.84 × 6,939.88
  4. Step 4: Simplify right side
    11,975.20x = 114,673,466.74
  5. Step 5: Solve for x
    x = 114,673,466.74/11,975.20
  6. Step 6: Final answer
    x = 9,575.91

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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.