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Finding the Fourth Proportional to 7,115.84, 10,675.14 and 2,732.97

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Solution

The fourth proportional to 7,115.84, 10,675.14 and 2,732.97 is: 4,099.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.84 : 10,675.14 = 2,732.97 : x
  2. Step 2: Convert to fraction form
    7,115.84/10,675.14 = 2,732.97/x
  3. Step 3: Cross multiply
    7,115.84x = 10,675.14 × 2,732.97
  4. Step 4: Simplify right side
    7,115.84x = 29,174,837.37
  5. Step 5: Solve for x
    x = 29,174,837.37/7,115.84
  6. Step 6: Final answer
    x = 4,099.99

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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.