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Finding the Fourth Proportional to 7,112.57, 10,667.93 and 2,181.80

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Solution

The fourth proportional to 7,112.57, 10,667.93 and 2,181.80 is: 3,272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.57 : 10,667.93 = 2,181.80 : x
  2. Step 2: Convert to fraction form
    7,112.57/10,667.93 = 2,181.80/x
  3. Step 3: Cross multiply
    7,112.57x = 10,667.93 × 2,181.80
  4. Step 4: Simplify right side
    7,112.57x = 23,275,266.57
  5. Step 5: Solve for x
    x = 23,275,266.57/7,112.57
  6. Step 6: Final answer
    x = 3,272.41

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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.