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Finding the Fourth Proportional to 7,072.52, 10,610.75 and 2,142.20

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Solution

The fourth proportional to 7,072.52, 10,610.75 and 2,142.20 is: 3,213.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.52 : 10,610.75 = 2,142.20 : x
  2. Step 2: Convert to fraction form
    7,072.52/10,610.75 = 2,142.20/x
  3. Step 3: Cross multiply
    7,072.52x = 10,610.75 × 2,142.20
  4. Step 4: Simplify right side
    7,072.52x = 22,730,308.80
  5. Step 5: Solve for x
    x = 22,730,308.80/7,072.52
  6. Step 6: Final answer
    x = 3,213.89

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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.