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Finding the Fourth Proportional to 7,213.26, 10,823.14 and 3,921.42

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Solution

The fourth proportional to 7,213.26, 10,823.14 and 3,921.42 is: 5,883.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.26 : 10,823.14 = 3,921.42 : x
  2. Step 2: Convert to fraction form
    7,213.26/10,823.14 = 3,921.42/x
  3. Step 3: Cross multiply
    7,213.26x = 10,823.14 × 3,921.42
  4. Step 4: Simplify right side
    7,213.26x = 42,442,077.66
  5. Step 5: Solve for x
    x = 42,442,077.66/7,213.26
  6. Step 6: Final answer
    x = 5,883.90

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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.