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Finding the Fourth Proportional to 11,776.68, 17,662.96 and 3,456.56

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Solution

The fourth proportional to 11,776.68, 17,662.96 and 3,456.56 is: 5,184.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.68 : 17,662.96 = 3,456.56 : x
  2. Step 2: Convert to fraction form
    11,776.68/17,662.96 = 3,456.56/x
  3. Step 3: Cross multiply
    11,776.68x = 17,662.96 × 3,456.56
  4. Step 4: Simplify right side
    11,776.68x = 61,053,081.02
  5. Step 5: Solve for x
    x = 61,053,081.02/11,776.68
  6. Step 6: Final answer
    x = 5,184.24

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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.