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Finding the Fourth Proportional to 10,958.42, 16,422.02 and 8,450.12

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Solution

The fourth proportional to 10,958.42, 16,422.02 and 8,450.12 is: 12,663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,958.42 : 16,422.02 = 8,450.12 : x
  2. Step 2: Convert to fraction form
    10,958.42/16,422.02 = 8,450.12/x
  3. Step 3: Cross multiply
    10,958.42x = 16,422.02 × 8,450.12
  4. Step 4: Simplify right side
    10,958.42x = 138,768,039.64
  5. Step 5: Solve for x
    x = 138,768,039.64/10,958.42
  6. Step 6: Final answer
    x = 12,663.14

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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.