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Finding the Fourth Proportional to 11,772.69, 17,659.05 and 3,007.61

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Solution

The fourth proportional to 11,772.69, 17,659.05 and 3,007.61 is: 4,511.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.69 : 17,659.05 = 3,007.61 : x
  2. Step 2: Convert to fraction form
    11,772.69/17,659.05 = 3,007.61/x
  3. Step 3: Cross multiply
    11,772.69x = 17,659.05 × 3,007.61
  4. Step 4: Simplify right side
    11,772.69x = 53,111,601.35
  5. Step 5: Solve for x
    x = 53,111,601.35/11,772.69
  6. Step 6: Final answer
    x = 4,511.42

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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.