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Finding the Fourth Proportional to 6,072.96, 8,380.09 and 4,480.47

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Solution

The fourth proportional to 6,072.96, 8,380.09 and 4,480.47 is: 6,182.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.96 : 8,380.09 = 4,480.47 : x
  2. Step 2: Convert to fraction form
    6,072.96/8,380.09 = 4,480.47/x
  3. Step 3: Cross multiply
    6,072.96x = 8,380.09 × 4,480.47
  4. Step 4: Simplify right side
    6,072.96x = 37,546,751.59
  5. Step 5: Solve for x
    x = 37,546,751.59/6,072.96
  6. Step 6: Final answer
    x = 6,182.62

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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.