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Finding the Fourth Proportional to 11,283.88, 15,556.82 and 9,259.88

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Solution

The fourth proportional to 11,283.88, 15,556.82 and 9,259.88 is: 12,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,283.88 : 15,556.82 = 9,259.88 : x
  2. Step 2: Convert to fraction form
    11,283.88/15,556.82 = 9,259.88/x
  3. Step 3: Cross multiply
    11,283.88x = 15,556.82 × 9,259.88
  4. Step 4: Simplify right side
    11,283.88x = 144,054,286.38
  5. Step 5: Solve for x
    x = 144,054,286.38/11,283.88
  6. Step 6: Final answer
    x = 12,766.38

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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.