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Finding the Fourth Proportional to 10,868.10, 16,314.30 and 8,413.80

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Solution

The fourth proportional to 10,868.10, 16,314.30 and 8,413.80 is: 12,630.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,868.10 : 16,314.30 = 8,413.80 : x
  2. Step 2: Convert to fraction form
    10,868.10/16,314.30 = 8,413.80/x
  3. Step 3: Cross multiply
    10,868.10x = 16,314.30 × 8,413.80
  4. Step 4: Simplify right side
    10,868.10x = 137,265,257.34
  5. Step 5: Solve for x
    x = 137,265,257.34/10,868.10
  6. Step 6: Final answer
    x = 12,630.11

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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.