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Finding the Fourth Proportional to 11,926.86, 17,893.50 and 4,135.68

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Solution

The fourth proportional to 11,926.86, 17,893.50 and 4,135.68 is: 6,204.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,926.86 : 17,893.50 = 4,135.68 : x
  2. Step 2: Convert to fraction form
    11,926.86/17,893.50 = 4,135.68/x
  3. Step 3: Cross multiply
    11,926.86x = 17,893.50 × 4,135.68
  4. Step 4: Simplify right side
    11,926.86x = 74,001,790.08
  5. Step 5: Solve for x
    x = 74,001,790.08/11,926.86
  6. Step 6: Final answer
    x = 6,204.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.