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Finding the Fourth Proportional to 6,716.74, 10,072.46 and 2,554.54

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Solution

The fourth proportional to 6,716.74, 10,072.46 and 2,554.54 is: 3,830.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.74 : 10,072.46 = 2,554.54 : x
  2. Step 2: Convert to fraction form
    6,716.74/10,072.46 = 2,554.54/x
  3. Step 3: Cross multiply
    6,716.74x = 10,072.46 × 2,554.54
  4. Step 4: Simplify right side
    6,716.74x = 25,730,501.97
  5. Step 5: Solve for x
    x = 25,730,501.97/6,716.74
  6. Step 6: Final answer
    x = 3,830.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.