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Finding the Fourth Proportional to 13,103.75, 18,083.07 and 7,135.40

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Solution

The fourth proportional to 13,103.75, 18,083.07 and 7,135.40 is: 9,846.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103.75 : 18,083.07 = 7,135.40 : x
  2. Step 2: Convert to fraction form
    13,103.75/18,083.07 = 7,135.40/x
  3. Step 3: Cross multiply
    13,103.75x = 18,083.07 × 7,135.40
  4. Step 4: Simplify right side
    13,103.75x = 129,029,847.26
  5. Step 5: Solve for x
    x = 129,029,847.26/13,103.75
  6. Step 6: Final answer
    x = 9,846.79

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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.