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Finding the Fourth Proportional to 6,081.82, 8,385.35 and 5,075

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Solution

The fourth proportional to 6,081.82, 8,385.35 and 5,075 is: 6,997.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,081.82 : 8,385.35 = 5,075 : x
  2. Step 2: Convert to fraction form
    6,081.82/8,385.35 = 5,075/x
  3. Step 3: Cross multiply
    6,081.82x = 8,385.35 × 5,075
  4. Step 4: Simplify right side
    6,081.82x = 42,555,651.25
  5. Step 5: Solve for x
    x = 42,555,651.25/6,081.82
  6. Step 6: Final answer
    x = 6,997.19

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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.