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Finding the Fourth Proportional to 7,531.41, 10,393.21 and 4,174.23

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Solution

The fourth proportional to 7,531.41, 10,393.21 and 4,174.23 is: 5,760.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531.41 : 10,393.21 = 4,174.23 : x
  2. Step 2: Convert to fraction form
    7,531.41/10,393.21 = 4,174.23/x
  3. Step 3: Cross multiply
    7,531.41x = 10,393.21 × 4,174.23
  4. Step 4: Simplify right side
    7,531.41x = 43,383,693.17
  5. Step 5: Solve for x
    x = 43,383,693.17/7,531.41
  6. Step 6: Final answer
    x = 5,760.37

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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.