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Finding the Fourth Proportional to 11,850.12, 17,764.76 and 4,836.04

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Solution

The fourth proportional to 11,850.12, 17,764.76 and 4,836.04 is: 7,249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,850.12 : 17,764.76 = 4,836.04 : x
  2. Step 2: Convert to fraction form
    11,850.12/17,764.76 = 4,836.04/x
  3. Step 3: Cross multiply
    11,850.12x = 17,764.76 × 4,836.04
  4. Step 4: Simplify right side
    11,850.12x = 85,911,057.63
  5. Step 5: Solve for x
    x = 85,911,057.63/11,850.12
  6. Step 6: Final answer
    x = 7,249.80

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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.