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Finding the Fourth Proportional to 7,716.25, 10,648.43 and 4,179.46

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Solution

The fourth proportional to 7,716.25, 10,648.43 and 4,179.46 is: 5,767.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.25 : 10,648.43 = 4,179.46 : x
  2. Step 2: Convert to fraction form
    7,716.25/10,648.43 = 4,179.46/x
  3. Step 3: Cross multiply
    7,716.25x = 10,648.43 × 4,179.46
  4. Step 4: Simplify right side
    7,716.25x = 44,504,687.25
  5. Step 5: Solve for x
    x = 44,504,687.25/7,716.25
  6. Step 6: Final answer
    x = 5,767.66

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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.