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Finding the Fourth Proportional to 11,885.67, 17,828.51 and 4,093.88

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Solution

The fourth proportional to 11,885.67, 17,828.51 and 4,093.88 is: 6,140.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.67 : 17,828.51 = 4,093.88 : x
  2. Step 2: Convert to fraction form
    11,885.67/17,828.51 = 4,093.88/x
  3. Step 3: Cross multiply
    11,885.67x = 17,828.51 × 4,093.88
  4. Step 4: Simplify right side
    11,885.67x = 72,987,670.91
  5. Step 5: Solve for x
    x = 72,987,670.91/11,885.67
  6. Step 6: Final answer
    x = 6,140.81

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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.