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Finding the Fourth Proportional to 11,809.50, 16,285.85 and 9,116.41

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Solution

The fourth proportional to 11,809.50, 16,285.85 and 9,116.41 is: 12,571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.50 : 16,285.85 = 9,116.41 : x
  2. Step 2: Convert to fraction form
    11,809.50/16,285.85 = 9,116.41/x
  3. Step 3: Cross multiply
    11,809.50x = 16,285.85 × 9,116.41
  4. Step 4: Simplify right side
    11,809.50x = 148,468,485.80
  5. Step 5: Solve for x
    x = 148,468,485.80/11,809.50
  6. Step 6: Final answer
    x = 12,571.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.