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Finding the Fourth Proportional to 11,576.40, 15,974.62 and 6,796.54

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Solution

The fourth proportional to 11,576.40, 15,974.62 and 6,796.54 is: 9,378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.40 : 15,974.62 = 6,796.54 : x
  2. Step 2: Convert to fraction form
    11,576.40/15,974.62 = 6,796.54/x
  3. Step 3: Cross multiply
    11,576.40x = 15,974.62 × 6,796.54
  4. Step 4: Simplify right side
    11,576.40x = 108,572,143.81
  5. Step 5: Solve for x
    x = 108,572,143.81/11,576.40
  6. Step 6: Final answer
    x = 9,378.75

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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.