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Finding the Fourth Proportional to 11,454.40, 17,185.85 and 3,663.82

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Solution

The fourth proportional to 11,454.40, 17,185.85 and 3,663.82 is: 5,497.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.40 : 17,185.85 = 3,663.82 : x
  2. Step 2: Convert to fraction form
    11,454.40/17,185.85 = 3,663.82/x
  3. Step 3: Cross multiply
    11,454.40x = 17,185.85 × 3,663.82
  4. Step 4: Simplify right side
    11,454.40x = 62,965,827.14
  5. Step 5: Solve for x
    x = 62,965,827.14/11,454.40
  6. Step 6: Final answer
    x = 5,497.09

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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.