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Finding the Fourth Proportional to 7,716.92, 10,654.26 and 5,945.24

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Solution

The fourth proportional to 7,716.92, 10,654.26 and 5,945.24 is: 8,208.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.92 : 10,654.26 = 5,945.24 : x
  2. Step 2: Convert to fraction form
    7,716.92/10,654.26 = 5,945.24/x
  3. Step 3: Cross multiply
    7,716.92x = 10,654.26 × 5,945.24
  4. Step 4: Simplify right side
    7,716.92x = 63,342,132.72
  5. Step 5: Solve for x
    x = 63,342,132.72/7,716.92
  6. Step 6: Final answer
    x = 8,208.21

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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.