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Finding the Fourth Proportional to 8,327.28, 11,486 and 5,184.96

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Solution

The fourth proportional to 8,327.28, 11,486 and 5,184.96 is: 7,151.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327.28 : 11,486 = 5,184.96 : x
  2. Step 2: Convert to fraction form
    8,327.28/11,486 = 5,184.96/x
  3. Step 3: Cross multiply
    8,327.28x = 11,486 × 5,184.96
  4. Step 4: Simplify right side
    8,327.28x = 59,554,450.56
  5. Step 5: Solve for x
    x = 59,554,450.56/8,327.28
  6. Step 6: Final answer
    x = 7,151.73

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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.