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Finding the Fourth Proportional to 11,413.77, 15,786 and 10,234.41

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Solution

The fourth proportional to 11,413.77, 15,786 and 10,234.41 is: 14,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.77 : 15,786 = 10,234.41 : x
  2. Step 2: Convert to fraction form
    11,413.77/15,786 = 10,234.41/x
  3. Step 3: Cross multiply
    11,413.77x = 15,786 × 10,234.41
  4. Step 4: Simplify right side
    11,413.77x = 161,560,396.26
  5. Step 5: Solve for x
    x = 161,560,396.26/11,413.77
  6. Step 6: Final answer
    x = 14,154.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.