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Finding the Fourth Proportional to 10,847.57, 16,280.79 and 6,176.97

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Solution

The fourth proportional to 10,847.57, 16,280.79 and 6,176.97 is: 9,270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847.57 : 16,280.79 = 6,176.97 : x
  2. Step 2: Convert to fraction form
    10,847.57/16,280.79 = 6,176.97/x
  3. Step 3: Cross multiply
    10,847.57x = 16,280.79 × 6,176.97
  4. Step 4: Simplify right side
    10,847.57x = 100,565,951.41
  5. Step 5: Solve for x
    x = 100,565,951.41/10,847.57
  6. Step 6: Final answer
    x = 9,270.83

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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.