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Finding the Fourth Proportional to 7,172.43, 9,892.48 and 5,189.55

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Solution

The fourth proportional to 7,172.43, 9,892.48 and 5,189.55 is: 7,157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.43 : 9,892.48 = 5,189.55 : x
  2. Step 2: Convert to fraction form
    7,172.43/9,892.48 = 5,189.55/x
  3. Step 3: Cross multiply
    7,172.43x = 9,892.48 × 5,189.55
  4. Step 4: Simplify right side
    7,172.43x = 51,337,531.34
  5. Step 5: Solve for x
    x = 51,337,531.34/7,172.43
  6. Step 6: Final answer
    x = 7,157.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.