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Finding the Fourth Proportional to 7,384.82, 10,190.92 and 4,027.64

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Solution

The fourth proportional to 7,384.82, 10,190.92 and 4,027.64 is: 5,558.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.82 : 10,190.92 = 4,027.64 : x
  2. Step 2: Convert to fraction form
    7,384.82/10,190.92 = 4,027.64/x
  3. Step 3: Cross multiply
    7,384.82x = 10,190.92 × 4,027.64
  4. Step 4: Simplify right side
    7,384.82x = 41,045,357.03
  5. Step 5: Solve for x
    x = 41,045,357.03/7,384.82
  6. Step 6: Final answer
    x = 5,558.07

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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.