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Finding the Fourth Proportional to 7,546.70, 10,414.48 and 4,189.58

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Solution

The fourth proportional to 7,546.70, 10,414.48 and 4,189.58 is: 5,781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.70 : 10,414.48 = 4,189.58 : x
  2. Step 2: Convert to fraction form
    7,546.70/10,414.48 = 4,189.58/x
  3. Step 3: Cross multiply
    7,546.70x = 10,414.48 × 4,189.58
  4. Step 4: Simplify right side
    7,546.70x = 43,632,297.12
  5. Step 5: Solve for x
    x = 43,632,297.12/7,546.70
  6. Step 6: Final answer
    x = 5,781.64

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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.