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Finding the Fourth Proportional to 7,257.98, 10,016.84 and 4,072.14

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Solution

The fourth proportional to 7,257.98, 10,016.84 and 4,072.14 is: 5,620.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.98 : 10,016.84 = 4,072.14 : x
  2. Step 2: Convert to fraction form
    7,257.98/10,016.84 = 4,072.14/x
  3. Step 3: Cross multiply
    7,257.98x = 10,016.84 × 4,072.14
  4. Step 4: Simplify right side
    7,257.98x = 40,789,974.84
  5. Step 5: Solve for x
    x = 40,789,974.84/7,257.98
  6. Step 6: Final answer
    x = 5,620.02

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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.