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Finding the Fourth Proportional to 11,665.59, 16,104.69 and 9,372.09

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Solution

The fourth proportional to 11,665.59, 16,104.69 and 9,372.09 is: 12,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.59 : 16,104.69 = 9,372.09 : x
  2. Step 2: Convert to fraction form
    11,665.59/16,104.69 = 9,372.09/x
  3. Step 3: Cross multiply
    11,665.59x = 16,104.69 × 9,372.09
  4. Step 4: Simplify right side
    11,665.59x = 150,934,604.10
  5. Step 5: Solve for x
    x = 150,934,604.10/11,665.59
  6. Step 6: Final answer
    x = 12,938.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.