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Finding the Fourth Proportional to 6,382.08, 8,749.80 and 6,265.44

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Solution

The fourth proportional to 6,382.08, 8,749.80 and 6,265.44 is: 8,589.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.08 : 8,749.80 = 6,265.44 : x
  2. Step 2: Convert to fraction form
    6,382.08/8,749.80 = 6,265.44/x
  3. Step 3: Cross multiply
    6,382.08x = 8,749.80 × 6,265.44
  4. Step 4: Simplify right side
    6,382.08x = 54,821,346.91
  5. Step 5: Solve for x
    x = 54,821,346.91/6,382.08
  6. Step 6: Final answer
    x = 8,589.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.