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Finding the Fourth Proportional to 7,174.87, 9,900.78 and 4,190.33

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Solution

The fourth proportional to 7,174.87, 9,900.78 and 4,190.33 is: 5,782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.87 : 9,900.78 = 4,190.33 : x
  2. Step 2: Convert to fraction form
    7,174.87/9,900.78 = 4,190.33/x
  3. Step 3: Cross multiply
    7,174.87x = 9,900.78 × 4,190.33
  4. Step 4: Simplify right side
    7,174.87x = 41,487,535.46
  5. Step 5: Solve for x
    x = 41,487,535.46/7,174.87
  6. Step 6: Final answer
    x = 5,782.34

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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.