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Finding the Fourth Proportional to 11,775.92, 17,665.81 and 3,456.21

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Solution

The fourth proportional to 11,775.92, 17,665.81 and 3,456.21 is: 5,184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.92 : 17,665.81 = 3,456.21 : x
  2. Step 2: Convert to fraction form
    11,775.92/17,665.81 = 3,456.21/x
  3. Step 3: Cross multiply
    11,775.92x = 17,665.81 × 3,456.21
  4. Step 4: Simplify right side
    11,775.92x = 61,056,740.54
  5. Step 5: Solve for x
    x = 61,056,740.54/11,775.92
  6. Step 6: Final answer
    x = 5,184.88

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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.