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Finding the Fourth Proportional to 11,181.90, 15,431.03 and 6,146.12

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Solution

The fourth proportional to 11,181.90, 15,431.03 and 6,146.12 is: 8,481.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,181.90 : 15,431.03 = 6,146.12 : x
  2. Step 2: Convert to fraction form
    11,181.90/15,431.03 = 6,146.12/x
  3. Step 3: Cross multiply
    11,181.90x = 15,431.03 × 6,146.12
  4. Step 4: Simplify right side
    11,181.90x = 94,841,016.05
  5. Step 5: Solve for x
    x = 94,841,016.05/11,181.90
  6. Step 6: Final answer
    x = 8,481.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.