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Finding the Fourth Proportional to 11,986.56, 16,517.16 and 9,281.46

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Solution

The fourth proportional to 11,986.56, 16,517.16 and 9,281.46 is: 12,789.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,986.56 : 16,517.16 = 9,281.46 : x
  2. Step 2: Convert to fraction form
    11,986.56/16,517.16 = 9,281.46/x
  3. Step 3: Cross multiply
    11,986.56x = 16,517.16 × 9,281.46
  4. Step 4: Simplify right side
    11,986.56x = 153,303,359.85
  5. Step 5: Solve for x
    x = 153,303,359.85/11,986.56
  6. Step 6: Final answer
    x = 12,789.60

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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.