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Finding the Fourth Proportional to 11,894.74, 17,828.74 and 5,649.64

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Solution

The fourth proportional to 11,894.74, 17,828.74 and 5,649.64 is: 8,468.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.74 : 17,828.74 = 5,649.64 : x
  2. Step 2: Convert to fraction form
    11,894.74/17,828.74 = 5,649.64/x
  3. Step 3: Cross multiply
    11,894.74x = 17,828.74 × 5,649.64
  4. Step 4: Simplify right side
    11,894.74x = 100,725,962.65
  5. Step 5: Solve for x
    x = 100,725,962.65/11,894.74
  6. Step 6: Final answer
    x = 8,468.11

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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.