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Finding the Fourth Proportional to 11,877.08, 17,774.31 and 7,194.47

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Solution

The fourth proportional to 11,877.08, 17,774.31 and 7,194.47 is: 10,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.08 : 17,774.31 = 7,194.47 : x
  2. Step 2: Convert to fraction form
    11,877.08/17,774.31 = 7,194.47/x
  3. Step 3: Cross multiply
    11,877.08x = 17,774.31 × 7,194.47
  4. Step 4: Simplify right side
    11,877.08x = 127,876,740.07
  5. Step 5: Solve for x
    x = 127,876,740.07/11,877.08
  6. Step 6: Final answer
    x = 10,766.68

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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.