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Finding the Fourth Proportional to 11,899.56, 17,850.36 and 3,134.50

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Solution

The fourth proportional to 11,899.56, 17,850.36 and 3,134.50 is: 4,702.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899.56 : 17,850.36 = 3,134.50 : x
  2. Step 2: Convert to fraction form
    11,899.56/17,850.36 = 3,134.50/x
  3. Step 3: Cross multiply
    11,899.56x = 17,850.36 × 3,134.50
  4. Step 4: Simplify right side
    11,899.56x = 55,951,953.42
  5. Step 5: Solve for x
    x = 55,951,953.42/11,899.56
  6. Step 6: Final answer
    x = 4,702.02

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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.