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Finding the Fourth Proportional to 6,974.32, 10,509.42 and 5,768.73

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Solution

The fourth proportional to 6,974.32, 10,509.42 and 5,768.73 is: 8,692.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.32 : 10,509.42 = 5,768.73 : x
  2. Step 2: Convert to fraction form
    6,974.32/10,509.42 = 5,768.73/x
  3. Step 3: Cross multiply
    6,974.32x = 10,509.42 × 5,768.73
  4. Step 4: Simplify right side
    6,974.32x = 60,626,008.37
  5. Step 5: Solve for x
    x = 60,626,008.37/6,974.32
  6. Step 6: Final answer
    x = 8,692.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.