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Finding the Fourth Proportional to 10,817.76, 16,226.64 and 2,609.76

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Solution

The fourth proportional to 10,817.76, 16,226.64 and 2,609.76 is: 3,914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817.76 : 16,226.64 = 2,609.76 : x
  2. Step 2: Convert to fraction form
    10,817.76/16,226.64 = 2,609.76/x
  3. Step 3: Cross multiply
    10,817.76x = 16,226.64 × 2,609.76
  4. Step 4: Simplify right side
    10,817.76x = 42,347,636.01
  5. Step 5: Solve for x
    x = 42,347,636.01/10,817.76
  6. Step 6: Final answer
    x = 3,914.64

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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.