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Finding the Fourth Proportional to 7,384.38, 10,190.24 and 4,027.25

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Solution

The fourth proportional to 7,384.38, 10,190.24 and 4,027.25 is: 5,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.38 : 10,190.24 = 4,027.25 : x
  2. Step 2: Convert to fraction form
    7,384.38/10,190.24 = 4,027.25/x
  3. Step 3: Cross multiply
    7,384.38x = 10,190.24 × 4,027.25
  4. Step 4: Simplify right side
    7,384.38x = 41,038,664.48
  5. Step 5: Solve for x
    x = 41,038,664.48/7,384.38
  6. Step 6: Final answer
    x = 5,557.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.