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Finding the Fourth Proportional to 8,221.12, 11,346.58 and 7,947.74

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Solution

The fourth proportional to 8,221.12, 11,346.58 and 7,947.74 is: 10,969.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.12 : 11,346.58 = 7,947.74 : x
  2. Step 2: Convert to fraction form
    8,221.12/11,346.58 = 7,947.74/x
  3. Step 3: Cross multiply
    8,221.12x = 11,346.58 × 7,947.74
  4. Step 4: Simplify right side
    8,221.12x = 90,179,667.73
  5. Step 5: Solve for x
    x = 90,179,667.73/8,221.12
  6. Step 6: Final answer
    x = 10,969.27

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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.