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Finding the Fourth Proportional to 11,778.58, 17,640.99 and 5,626.90

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Solution

The fourth proportional to 11,778.58, 17,640.99 and 5,626.90 is: 8,427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.58 : 17,640.99 = 5,626.90 : x
  2. Step 2: Convert to fraction form
    11,778.58/17,640.99 = 5,626.90/x
  3. Step 3: Cross multiply
    11,778.58x = 17,640.99 × 5,626.90
  4. Step 4: Simplify right side
    11,778.58x = 99,264,086.63
  5. Step 5: Solve for x
    x = 99,264,086.63/11,778.58
  6. Step 6: Final answer
    x = 8,427.51

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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.