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Finding the Fourth Proportional to 11,043.36, 15,243.12 and 6,330.78

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Solution

The fourth proportional to 11,043.36, 15,243.12 and 6,330.78 is: 8,738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,043.36 : 15,243.12 = 6,330.78 : x
  2. Step 2: Convert to fraction form
    11,043.36/15,243.12 = 6,330.78/x
  3. Step 3: Cross multiply
    11,043.36x = 15,243.12 × 6,330.78
  4. Step 4: Simplify right side
    11,043.36x = 96,500,839.23
  5. Step 5: Solve for x
    x = 96,500,839.23/11,043.36
  6. Step 6: Final answer
    x = 8,738.36

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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.