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Finding the Fourth Proportional to 11,680.57, 16,119.23 and 6,375.50

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Solution

The fourth proportional to 11,680.57, 16,119.23 and 6,375.50 is: 8,798.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.57 : 16,119.23 = 6,375.50 : x
  2. Step 2: Convert to fraction form
    11,680.57/16,119.23 = 6,375.50/x
  3. Step 3: Cross multiply
    11,680.57x = 16,119.23 × 6,375.50
  4. Step 4: Simplify right side
    11,680.57x = 102,768,150.87
  5. Step 5: Solve for x
    x = 102,768,150.87/11,680.57
  6. Step 6: Final answer
    x = 8,798.21

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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.