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Finding the Fourth Proportional to 8,427.65, 12,626.89 and 6,692.63

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Solution

The fourth proportional to 8,427.65, 12,626.89 and 6,692.63 is: 10,027.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.65 : 12,626.89 = 6,692.63 : x
  2. Step 2: Convert to fraction form
    8,427.65/12,626.89 = 6,692.63/x
  3. Step 3: Cross multiply
    8,427.65x = 12,626.89 × 6,692.63
  4. Step 4: Simplify right side
    8,427.65x = 84,507,022.95
  5. Step 5: Solve for x
    x = 84,507,022.95/8,427.65
  6. Step 6: Final answer
    x = 10,027.36

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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.