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Finding the Fourth Proportional to 11,680.98, 16,119.66 and 6,375.75

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Solution

The fourth proportional to 11,680.98, 16,119.66 and 6,375.75 is: 8,798.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.98 : 16,119.66 = 6,375.75 : x
  2. Step 2: Convert to fraction form
    11,680.98/16,119.66 = 6,375.75/x
  3. Step 3: Cross multiply
    11,680.98x = 16,119.66 × 6,375.75
  4. Step 4: Simplify right side
    11,680.98x = 102,774,922.25
  5. Step 5: Solve for x
    x = 102,774,922.25/11,680.98
  6. Step 6: Final answer
    x = 8,798.48

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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.