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Finding the Fourth Proportional to 11,488.34, 17,231.24 and 3,696.50

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Solution

The fourth proportional to 11,488.34, 17,231.24 and 3,696.50 is: 5,544.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,488.34 : 17,231.24 = 3,696.50 : x
  2. Step 2: Convert to fraction form
    11,488.34/17,231.24 = 3,696.50/x
  3. Step 3: Cross multiply
    11,488.34x = 17,231.24 × 3,696.50
  4. Step 4: Simplify right side
    11,488.34x = 63,695,278.66
  5. Step 5: Solve for x
    x = 63,695,278.66/11,488.34
  6. Step 6: Final answer
    x = 5,544.34

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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.