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Finding the Fourth Proportional to 7,531.82, 10,393.99 and 4,174.71

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Solution

The fourth proportional to 7,531.82, 10,393.99 and 4,174.71 is: 5,761.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531.82 : 10,393.99 = 4,174.71 : x
  2. Step 2: Convert to fraction form
    7,531.82/10,393.99 = 4,174.71/x
  3. Step 3: Cross multiply
    7,531.82x = 10,393.99 × 4,174.71
  4. Step 4: Simplify right side
    7,531.82x = 43,391,821.15
  5. Step 5: Solve for x
    x = 43,391,821.15/7,531.82
  6. Step 6: Final answer
    x = 5,761.13

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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.