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Finding the Fourth Proportional to 13,408.10, 18,504 and 7,743.90

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Solution

The fourth proportional to 13,408.10, 18,504 and 7,743.90 is: 10,687.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.10 : 18,504 = 7,743.90 : x
  2. Step 2: Convert to fraction form
    13,408.10/18,504 = 7,743.90/x
  3. Step 3: Cross multiply
    13,408.10x = 18,504 × 7,743.90
  4. Step 4: Simplify right side
    13,408.10x = 143,293,125.60
  5. Step 5: Solve for x
    x = 143,293,125.60/13,408.10
  6. Step 6: Final answer
    x = 10,687.06

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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.