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Finding the Fourth Proportional to 10,817.84, 16,226.78 and 2,609.84

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Solution

The fourth proportional to 10,817.84, 16,226.78 and 2,609.84 is: 3,914.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817.84 : 16,226.78 = 2,609.84 : x
  2. Step 2: Convert to fraction form
    10,817.84/16,226.78 = 2,609.84/x
  3. Step 3: Cross multiply
    10,817.84x = 16,226.78 × 2,609.84
  4. Step 4: Simplify right side
    10,817.84x = 42,349,299.52
  5. Step 5: Solve for x
    x = 42,349,299.52/10,817.84
  6. Step 6: Final answer
    x = 3,914.76

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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.