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Finding the Fourth Proportional to 7,546.41, 10,414.01 and 4,189.25

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Solution

The fourth proportional to 7,546.41, 10,414.01 and 4,189.25 is: 5,781.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.41 : 10,414.01 = 4,189.25 : x
  2. Step 2: Convert to fraction form
    7,546.41/10,414.01 = 4,189.25/x
  3. Step 3: Cross multiply
    7,546.41x = 10,414.01 × 4,189.25
  4. Step 4: Simplify right side
    7,546.41x = 43,626,927.90
  5. Step 5: Solve for x
    x = 43,626,927.90/7,546.41
  6. Step 6: Final answer
    x = 5,781.15

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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.