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Finding the Fourth Proportional to 11,441.62, 17,181.51 and 7,717.39

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Solution

The fourth proportional to 11,441.62, 17,181.51 and 7,717.39 is: 11,588.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,441.62 : 17,181.51 = 7,717.39 : x
  2. Step 2: Convert to fraction form
    11,441.62/17,181.51 = 7,717.39/x
  3. Step 3: Cross multiply
    11,441.62x = 17,181.51 × 7,717.39
  4. Step 4: Simplify right side
    11,441.62x = 132,596,413.46
  5. Step 5: Solve for x
    x = 132,596,413.46/11,441.62
  6. Step 6: Final answer
    x = 11,588.95

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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.