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Finding the Fourth Proportional to 11,274.77, 15,556.38 and 6,801.14

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Solution

The fourth proportional to 11,274.77, 15,556.38 and 6,801.14 is: 9,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,274.77 : 15,556.38 = 6,801.14 : x
  2. Step 2: Convert to fraction form
    11,274.77/15,556.38 = 6,801.14/x
  3. Step 3: Cross multiply
    11,274.77x = 15,556.38 × 6,801.14
  4. Step 4: Simplify right side
    11,274.77x = 105,801,118.27
  5. Step 5: Solve for x
    x = 105,801,118.27/11,274.77
  6. Step 6: Final answer
    x = 9,383.88

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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.