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Finding the Fourth Proportional to 7,112.84, 10,665.75 and 2,181.29

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Solution

The fourth proportional to 7,112.84, 10,665.75 and 2,181.29 is: 3,270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.84 : 10,665.75 = 2,181.29 : x
  2. Step 2: Convert to fraction form
    7,112.84/10,665.75 = 2,181.29/x
  3. Step 3: Cross multiply
    7,112.84x = 10,665.75 × 2,181.29
  4. Step 4: Simplify right side
    7,112.84x = 23,265,093.82
  5. Step 5: Solve for x
    x = 23,265,093.82/7,112.84
  6. Step 6: Final answer
    x = 3,270.86

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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.