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Finding the Fourth Proportional to 11,906.08, 17,851.02 and 6,051.40

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Solution

The fourth proportional to 11,906.08, 17,851.02 and 6,051.40 is: 9,072.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.08 : 17,851.02 = 6,051.40 : x
  2. Step 2: Convert to fraction form
    11,906.08/17,851.02 = 6,051.40/x
  3. Step 3: Cross multiply
    11,906.08x = 17,851.02 × 6,051.40
  4. Step 4: Simplify right side
    11,906.08x = 108,023,662.43
  5. Step 5: Solve for x
    x = 108,023,662.43/11,906.08
  6. Step 6: Final answer
    x = 9,072.98

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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.