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Finding the Fourth Proportional to 8,202.28, 11,319.12 and 4,476.28

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Solution

The fourth proportional to 8,202.28, 11,319.12 and 4,476.28 is: 6,177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.28 : 11,319.12 = 4,476.28 : x
  2. Step 2: Convert to fraction form
    8,202.28/11,319.12 = 4,476.28/x
  3. Step 3: Cross multiply
    8,202.28x = 11,319.12 × 4,476.28
  4. Step 4: Simplify right side
    8,202.28x = 50,667,550.47
  5. Step 5: Solve for x
    x = 50,667,550.47/8,202.28
  6. Step 6: Final answer
    x = 6,177.25

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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.