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Finding the Fourth Proportional to 11,767.79, 17,654.12 and 3,448.08

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Solution

The fourth proportional to 11,767.79, 17,654.12 and 3,448.08 is: 5,172.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.79 : 17,654.12 = 3,448.08 : x
  2. Step 2: Convert to fraction form
    11,767.79/17,654.12 = 3,448.08/x
  3. Step 3: Cross multiply
    11,767.79x = 17,654.12 × 3,448.08
  4. Step 4: Simplify right side
    11,767.79x = 60,872,813.78
  5. Step 5: Solve for x
    x = 60,872,813.78/11,767.79
  6. Step 6: Final answer
    x = 5,172.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.