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Finding the Fourth Proportional to 11,446.12, 15,791.46 and 9,359.08

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Solution

The fourth proportional to 11,446.12, 15,791.46 and 9,359.08 is: 12,912.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.12 : 15,791.46 = 9,359.08 : x
  2. Step 2: Convert to fraction form
    11,446.12/15,791.46 = 9,359.08/x
  3. Step 3: Cross multiply
    11,446.12x = 15,791.46 × 9,359.08
  4. Step 4: Simplify right side
    11,446.12x = 147,793,537.46
  5. Step 5: Solve for x
    x = 147,793,537.46/11,446.12
  6. Step 6: Final answer
    x = 12,912.11

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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.