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Finding the Fourth Proportional to 8,538.40, 12,793.20 and 5,615.20

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Solution

The fourth proportional to 8,538.40, 12,793.20 and 5,615.20 is: 8,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.40 : 12,793.20 = 5,615.20 : x
  2. Step 2: Convert to fraction form
    8,538.40/12,793.20 = 5,615.20/x
  3. Step 3: Cross multiply
    8,538.40x = 12,793.20 × 5,615.20
  4. Step 4: Simplify right side
    8,538.40x = 71,836,376.64
  5. Step 5: Solve for x
    x = 71,836,376.64/8,538.40
  6. Step 6: Final answer
    x = 8,413.33

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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.