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Finding the Fourth Proportional to 11,031.17, 15,223.04 and 5,995.38

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Solution

The fourth proportional to 11,031.17, 15,223.04 and 5,995.38 is: 8,273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,031.17 : 15,223.04 = 5,995.38 : x
  2. Step 2: Convert to fraction form
    11,031.17/15,223.04 = 5,995.38/x
  3. Step 3: Cross multiply
    11,031.17x = 15,223.04 × 5,995.38
  4. Step 4: Simplify right side
    11,031.17x = 91,267,894.93
  5. Step 5: Solve for x
    x = 91,267,894.93/11,031.17
  6. Step 6: Final answer
    x = 8,273.63

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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.