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Finding the Fourth Proportional to 7,716.29, 10,648.46 and 4,179.49

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Solution

The fourth proportional to 7,716.29, 10,648.46 and 4,179.49 is: 5,767.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.29 : 10,648.46 = 4,179.49 : x
  2. Step 2: Convert to fraction form
    7,716.29/10,648.46 = 4,179.49/x
  3. Step 3: Cross multiply
    7,716.29x = 10,648.46 × 4,179.49
  4. Step 4: Simplify right side
    7,716.29x = 44,505,132.09
  5. Step 5: Solve for x
    x = 44,505,132.09/7,716.29
  6. Step 6: Final answer
    x = 5,767.69

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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.