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Finding the Fourth Proportional to 10,892.34, 16,331.34 and 7,183.26

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Solution

The fourth proportional to 10,892.34, 16,331.34 and 7,183.26 is: 10,770.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.34 : 16,331.34 = 7,183.26 : x
  2. Step 2: Convert to fraction form
    10,892.34/16,331.34 = 7,183.26/x
  3. Step 3: Cross multiply
    10,892.34x = 16,331.34 × 7,183.26
  4. Step 4: Simplify right side
    10,892.34x = 117,312,261.37
  5. Step 5: Solve for x
    x = 117,312,261.37/10,892.34
  6. Step 6: Final answer
    x = 10,770.16

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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.