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Finding the Fourth Proportional to 7,213.80, 10,820.82 and 2,283.48

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Solution

The fourth proportional to 7,213.80, 10,820.82 and 2,283.48 is: 3,425.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.80 : 10,820.82 = 2,283.48 : x
  2. Step 2: Convert to fraction form
    7,213.80/10,820.82 = 2,283.48/x
  3. Step 3: Cross multiply
    7,213.80x = 10,820.82 × 2,283.48
  4. Step 4: Simplify right side
    7,213.80x = 24,709,126.05
  5. Step 5: Solve for x
    x = 24,709,126.05/7,213.80
  6. Step 6: Final answer
    x = 3,425.26

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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.