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Finding the Fourth Proportional to 5,923.28, 8,168.00 and 5,086.76

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Solution

The fourth proportional to 5,923.28, 8,168.00 and 5,086.76 is: 7,014.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.28 : 8,168.00 = 5,086.76 : x
  2. Step 2: Convert to fraction form
    5,923.28/8,168.00 = 5,086.76/x
  3. Step 3: Cross multiply
    5,923.28x = 8,168.00 × 5,086.76
  4. Step 4: Simplify right side
    5,923.28x = 41,548,589.41
  5. Step 5: Solve for x
    x = 41,548,589.41/5,923.28
  6. Step 6: Final answer
    x = 7,014.45

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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.