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Finding the Fourth Proportional to 10,958.20, 16,423.80 and 7,448.20

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Solution

The fourth proportional to 10,958.20, 16,423.80 and 7,448.20 is: 11,163.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,958.20 : 16,423.80 = 7,448.20 : x
  2. Step 2: Convert to fraction form
    10,958.20/16,423.80 = 7,448.20/x
  3. Step 3: Cross multiply
    10,958.20x = 16,423.80 × 7,448.20
  4. Step 4: Simplify right side
    10,958.20x = 122,327,747.16
  5. Step 5: Solve for x
    x = 122,327,747.16/10,958.20
  6. Step 6: Final answer
    x = 11,163.12

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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.