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Finding the Fourth Proportional to 7,375.75, 10,178.78 and 4,189.19

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Solution

The fourth proportional to 7,375.75, 10,178.78 and 4,189.19 is: 5,781.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,375.75 : 10,178.78 = 4,189.19 : x
  2. Step 2: Convert to fraction form
    7,375.75/10,178.78 = 4,189.19/x
  3. Step 3: Cross multiply
    7,375.75x = 10,178.78 × 4,189.19
  4. Step 4: Simplify right side
    7,375.75x = 42,640,771.55
  5. Step 5: Solve for x
    x = 42,640,771.55/7,375.75
  6. Step 6: Final answer
    x = 5,781.21

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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.