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Finding the Fourth Proportional to 5,192.57, 7,164.56 and 5,014.73

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Solution

The fourth proportional to 5,192.57, 7,164.56 and 5,014.73 is: 6,919.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.57 : 7,164.56 = 5,014.73 : x
  2. Step 2: Convert to fraction form
    5,192.57/7,164.56 = 5,014.73/x
  3. Step 3: Cross multiply
    5,192.57x = 7,164.56 × 5,014.73
  4. Step 4: Simplify right side
    5,192.57x = 35,928,273.07
  5. Step 5: Solve for x
    x = 35,928,273.07/5,192.57
  6. Step 6: Final answer
    x = 6,919.18

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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.