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Finding the Fourth Proportional to 7,531.89, 10,394.02 and 4,174.84

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Solution

The fourth proportional to 7,531.89, 10,394.02 and 4,174.84 is: 5,761.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531.89 : 10,394.02 = 4,174.84 : x
  2. Step 2: Convert to fraction form
    7,531.89/10,394.02 = 4,174.84/x
  3. Step 3: Cross multiply
    7,531.89x = 10,394.02 × 4,174.84
  4. Step 4: Simplify right side
    7,531.89x = 43,393,388.67
  5. Step 5: Solve for x
    x = 43,393,388.67/7,531.89
  6. Step 6: Final answer
    x = 5,761.29

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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.