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Finding the Fourth Proportional to 7,546.50, 10,414.01 and 4,189.46

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Solution

The fourth proportional to 7,546.50, 10,414.01 and 4,189.46 is: 5,781.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.50 : 10,414.01 = 4,189.46 : x
  2. Step 2: Convert to fraction form
    7,546.50/10,414.01 = 4,189.46/x
  3. Step 3: Cross multiply
    7,546.50x = 10,414.01 × 4,189.46
  4. Step 4: Simplify right side
    7,546.50x = 43,629,005.32
  5. Step 5: Solve for x
    x = 43,629,005.32/7,546.50
  6. Step 6: Final answer
    x = 5,781.36

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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.