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Finding the Fourth Proportional to 11,471.88, 17,223.78 and 5,929.32

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Solution

The fourth proportional to 11,471.88, 17,223.78 and 5,929.32 is: 8,902.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.88 : 17,223.78 = 5,929.32 : x
  2. Step 2: Convert to fraction form
    11,471.88/17,223.78 = 5,929.32/x
  3. Step 3: Cross multiply
    11,471.88x = 17,223.78 × 5,929.32
  4. Step 4: Simplify right side
    11,471.88x = 102,125,303.23
  5. Step 5: Solve for x
    x = 102,125,303.23/11,471.88
  6. Step 6: Final answer
    x = 8,902.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.