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Finding the Fourth Proportional to 11,004.76, 16,513.02 and 5,161.42

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Solution

The fourth proportional to 11,004.76, 16,513.02 and 5,161.42 is: 7,744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,004.76 : 16,513.02 = 5,161.42 : x
  2. Step 2: Convert to fraction form
    11,004.76/16,513.02 = 5,161.42/x
  3. Step 3: Cross multiply
    11,004.76x = 16,513.02 × 5,161.42
  4. Step 4: Simplify right side
    11,004.76x = 85,230,631.69
  5. Step 5: Solve for x
    x = 85,230,631.69/11,004.76
  6. Step 6: Final answer
    x = 7,744.89

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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.