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Finding the Fourth Proportional to 10,950.12, 16,413.41 and 5,679.86

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Solution

The fourth proportional to 10,950.12, 16,413.41 and 5,679.86 is: 8,513.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950.12 : 16,413.41 = 5,679.86 : x
  2. Step 2: Convert to fraction form
    10,950.12/16,413.41 = 5,679.86/x
  3. Step 3: Cross multiply
    10,950.12x = 16,413.41 × 5,679.86
  4. Step 4: Simplify right side
    10,950.12x = 93,225,760.46
  5. Step 5: Solve for x
    x = 93,225,760.46/10,950.12
  6. Step 6: Final answer
    x = 8,513.67

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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.