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Finding the Fourth Proportional to 6,852.44, 10,279.24 and 2,692.14

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Solution

The fourth proportional to 6,852.44, 10,279.24 and 2,692.14 is: 4,038.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.44 : 10,279.24 = 2,692.14 : x
  2. Step 2: Convert to fraction form
    6,852.44/10,279.24 = 2,692.14/x
  3. Step 3: Cross multiply
    6,852.44x = 10,279.24 × 2,692.14
  4. Step 4: Simplify right side
    6,852.44x = 27,673,153.17
  5. Step 5: Solve for x
    x = 27,673,153.17/6,852.44
  6. Step 6: Final answer
    x = 4,038.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.