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Finding the Fourth Proportional to 7,548.26, 10,414.92 and 4,361.54

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Solution

The fourth proportional to 7,548.26, 10,414.92 and 4,361.54 is: 6,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.26 : 10,414.92 = 4,361.54 : x
  2. Step 2: Convert to fraction form
    7,548.26/10,414.92 = 4,361.54/x
  3. Step 3: Cross multiply
    7,548.26x = 10,414.92 × 4,361.54
  4. Step 4: Simplify right side
    7,548.26x = 45,425,090.18
  5. Step 5: Solve for x
    x = 45,425,090.18/7,548.26
  6. Step 6: Final answer
    x = 6,017.96

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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.