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Finding the Fourth Proportional to 11,752, 17,628.72 and 3,544

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Solution

The fourth proportional to 11,752, 17,628.72 and 3,544 is: 5,316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752 : 17,628.72 = 3,544 : x
  2. Step 2: Convert to fraction form
    11,752/17,628.72 = 3,544/x
  3. Step 3: Cross multiply
    11,752x = 17,628.72 × 3,544
  4. Step 4: Simplify right side
    11,752x = 62,476,183.68
  5. Step 5: Solve for x
    x = 62,476,183.68/11,752
  6. Step 6: Final answer
    x = 5,316.22

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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.