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Finding the Fourth Proportional to 11,893.76, 17,846.74 and 6,050.35

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Solution

The fourth proportional to 11,893.76, 17,846.74 and 6,050.35 is: 9,078.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.76 : 17,846.74 = 6,050.35 : x
  2. Step 2: Convert to fraction form
    11,893.76/17,846.74 = 6,050.35/x
  3. Step 3: Cross multiply
    11,893.76x = 17,846.74 × 6,050.35
  4. Step 4: Simplify right side
    11,893.76x = 107,978,934.13
  5. Step 5: Solve for x
    x = 107,978,934.13/11,893.76
  6. Step 6: Final answer
    x = 9,078.62

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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.