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Finding the Fourth Proportional to 10,817.69, 16,226.53 and 2,609.69

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Solution

The fourth proportional to 10,817.69, 16,226.53 and 2,609.69 is: 3,914.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817.69 : 16,226.53 = 2,609.69 : x
  2. Step 2: Convert to fraction form
    10,817.69/16,226.53 = 2,609.69/x
  3. Step 3: Cross multiply
    10,817.69x = 16,226.53 × 2,609.69
  4. Step 4: Simplify right side
    10,817.69x = 42,346,125.42
  5. Step 5: Solve for x
    x = 42,346,125.42/10,817.69
  6. Step 6: Final answer
    x = 3,914.53

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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.