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Finding the Fourth Proportional to 8,309.28, 11,470.50 and 5,167.56

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Solution

The fourth proportional to 8,309.28, 11,470.50 and 5,167.56 is: 7,133.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.28 : 11,470.50 = 5,167.56 : x
  2. Step 2: Convert to fraction form
    8,309.28/11,470.50 = 5,167.56/x
  3. Step 3: Cross multiply
    8,309.28x = 11,470.50 × 5,167.56
  4. Step 4: Simplify right side
    8,309.28x = 59,274,496.98
  5. Step 5: Solve for x
    x = 59,274,496.98/8,309.28
  6. Step 6: Final answer
    x = 7,133.53

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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.