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Finding the Fourth Proportional to 7,384.75, 10,190.76 and 4,027.57

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Solution

The fourth proportional to 7,384.75, 10,190.76 and 4,027.57 is: 5,557.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.75 : 10,190.76 = 4,027.57 : x
  2. Step 2: Convert to fraction form
    7,384.75/10,190.76 = 4,027.57/x
  3. Step 3: Cross multiply
    7,384.75x = 10,190.76 × 4,027.57
  4. Step 4: Simplify right side
    7,384.75x = 41,043,999.25
  5. Step 5: Solve for x
    x = 41,043,999.25/7,384.75
  6. Step 6: Final answer
    x = 5,557.94

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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.