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Finding the Fourth Proportional to 11,930.16, 17,896.08 and 3,165

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Solution

The fourth proportional to 11,930.16, 17,896.08 and 3,165 is: 4,747.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.16 : 17,896.08 = 3,165 : x
  2. Step 2: Convert to fraction form
    11,930.16/17,896.08 = 3,165/x
  3. Step 3: Cross multiply
    11,930.16x = 17,896.08 × 3,165
  4. Step 4: Simplify right side
    11,930.16x = 56,641,093.20
  5. Step 5: Solve for x
    x = 56,641,093.20/11,930.16
  6. Step 6: Final answer
    x = 4,747.72

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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.