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Finding the Fourth Proportional to 11,576.56, 15,954.60 and 8,427.28

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Solution

The fourth proportional to 11,576.56, 15,954.60 and 8,427.28 is: 11,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.56 : 15,954.60 = 8,427.28 : x
  2. Step 2: Convert to fraction form
    11,576.56/15,954.60 = 8,427.28/x
  3. Step 3: Cross multiply
    11,576.56x = 15,954.60 × 8,427.28
  4. Step 4: Simplify right side
    11,576.56x = 134,453,881.49
  5. Step 5: Solve for x
    x = 134,453,881.49/11,576.56
  6. Step 6: Final answer
    x = 11,614.32

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Why These Related Problems?

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