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Finding the Fourth Proportional to 11,049.44, 15,239.22 and 8,924.36

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Solution

The fourth proportional to 11,049.44, 15,239.22 and 8,924.36 is: 12,308.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,049.44 : 15,239.22 = 8,924.36 : x
  2. Step 2: Convert to fraction form
    11,049.44/15,239.22 = 8,924.36/x
  3. Step 3: Cross multiply
    11,049.44x = 15,239.22 × 8,924.36
  4. Step 4: Simplify right side
    11,049.44x = 136,000,285.40
  5. Step 5: Solve for x
    x = 136,000,285.40/11,049.44
  6. Step 6: Final answer
    x = 12,308.34

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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.