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Finding the Fourth Proportional to 8,693.80, 13,040.70 and 5,413.30

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Solution

The fourth proportional to 8,693.80, 13,040.70 and 5,413.30 is: 8,119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,693.80 : 13,040.70 = 5,413.30 : x
  2. Step 2: Convert to fraction form
    8,693.80/13,040.70 = 5,413.30/x
  3. Step 3: Cross multiply
    8,693.80x = 13,040.70 × 5,413.30
  4. Step 4: Simplify right side
    8,693.80x = 70,593,221.31
  5. Step 5: Solve for x
    x = 70,593,221.31/8,693.80
  6. Step 6: Final answer
    x = 8,119.95

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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.