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Finding the Fourth Proportional to 11,778.10, 17,663.36 and 3,878.78

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Solution

The fourth proportional to 11,778.10, 17,663.36 and 3,878.78 is: 5,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.10 : 17,663.36 = 3,878.78 : x
  2. Step 2: Convert to fraction form
    11,778.10/17,663.36 = 3,878.78/x
  3. Step 3: Cross multiply
    11,778.10x = 17,663.36 × 3,878.78
  4. Step 4: Simplify right side
    11,778.10x = 68,512,287.50
  5. Step 5: Solve for x
    x = 68,512,287.50/11,778.10
  6. Step 6: Final answer
    x = 5,816.92

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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.