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Finding the Fourth Proportional to 10,952.20, 16,428.59 and 3,161

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Solution

The fourth proportional to 10,952.20, 16,428.59 and 3,161 is: 4,741.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.20 : 16,428.59 = 3,161 : x
  2. Step 2: Convert to fraction form
    10,952.20/16,428.59 = 3,161/x
  3. Step 3: Cross multiply
    10,952.20x = 16,428.59 × 3,161
  4. Step 4: Simplify right side
    10,952.20x = 51,930,757.19
  5. Step 5: Solve for x
    x = 51,930,757.19/10,952.20
  6. Step 6: Final answer
    x = 4,741.58

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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.