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Finding the Fourth Proportional to 11,824, 17,735.52 and 6,890.08

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Solution

The fourth proportional to 11,824, 17,735.52 and 6,890.08 is: 10,334.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824 : 17,735.52 = 6,890.08 : x
  2. Step 2: Convert to fraction form
    11,824/17,735.52 = 6,890.08/x
  3. Step 3: Cross multiply
    11,824x = 17,735.52 × 6,890.08
  4. Step 4: Simplify right side
    11,824x = 122,199,151.64
  5. Step 5: Solve for x
    x = 122,199,151.64/11,824
  6. Step 6: Final answer
    x = 10,334.84

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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.