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Finding the Fourth Proportional to 11,460.15, 17,175.87 and 6,194.97

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Solution

The fourth proportional to 11,460.15, 17,175.87 and 6,194.97 is: 9,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460.15 : 17,175.87 = 6,194.97 : x
  2. Step 2: Convert to fraction form
    11,460.15/17,175.87 = 6,194.97/x
  3. Step 3: Cross multiply
    11,460.15x = 17,175.87 × 6,194.97
  4. Step 4: Simplify right side
    11,460.15x = 106,403,999.37
  5. Step 5: Solve for x
    x = 106,403,999.37/11,460.15
  6. Step 6: Final answer
    x = 9,284.70

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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.