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Finding the Fourth Proportional to 26,378.75, 39,568.13 and 7,910.75

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Solution

The fourth proportional to 26,378.75, 39,568.13 and 7,910.75 is: 11,866.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,378.75 : 39,568.13 = 7,910.75 : x
  2. Step 2: Convert to fraction form
    26,378.75/39,568.13 = 7,910.75/x
  3. Step 3: Cross multiply
    26,378.75x = 39,568.13 × 7,910.75
  4. Step 4: Simplify right side
    26,378.75x = 313,013,584.40
  5. Step 5: Solve for x
    x = 313,013,584.40/26,378.75
  6. Step 6: Final answer
    x = 11,866.13

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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.