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Finding the Fourth Proportional to 11,556.83, 15,943.28 and 6,838.38

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Solution

The fourth proportional to 11,556.83, 15,943.28 and 6,838.38 is: 9,433.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556.83 : 15,943.28 = 6,838.38 : x
  2. Step 2: Convert to fraction form
    11,556.83/15,943.28 = 6,838.38/x
  3. Step 3: Cross multiply
    11,556.83x = 15,943.28 × 6,838.38
  4. Step 4: Simplify right side
    11,556.83x = 109,026,207.09
  5. Step 5: Solve for x
    x = 109,026,207.09/11,556.83
  6. Step 6: Final answer
    x = 9,433.92

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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.