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Finding the Fourth Proportional to 11,847.68, 17,765.56 and 3,947.40

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Solution

The fourth proportional to 11,847.68, 17,765.56 and 3,947.40 is: 5,919.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.68 : 17,765.56 = 3,947.40 : x
  2. Step 2: Convert to fraction form
    11,847.68/17,765.56 = 3,947.40/x
  3. Step 3: Cross multiply
    11,847.68x = 17,765.56 × 3,947.40
  4. Step 4: Simplify right side
    11,847.68x = 70,127,771.54
  5. Step 5: Solve for x
    x = 70,127,771.54/11,847.68
  6. Step 6: Final answer
    x = 5,919.11

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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.