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Finding the Fourth Proportional to 7,105.88, 10,645.86 and 3,969.56

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Solution

The fourth proportional to 7,105.88, 10,645.86 and 3,969.56 is: 5,947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.88 : 10,645.86 = 3,969.56 : x
  2. Step 2: Convert to fraction form
    7,105.88/10,645.86 = 3,969.56/x
  3. Step 3: Cross multiply
    7,105.88x = 10,645.86 × 3,969.56
  4. Step 4: Simplify right side
    7,105.88x = 42,259,380.02
  5. Step 5: Solve for x
    x = 42,259,380.02/7,105.88
  6. Step 6: Final answer
    x = 5,947.10

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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.