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Finding the Fourth Proportional to 12,774.43, 17,629.05 and 7,109.56

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Solution

The fourth proportional to 12,774.43, 17,629.05 and 7,109.56 is: 9,811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.43 : 17,629.05 = 7,109.56 : x
  2. Step 2: Convert to fraction form
    12,774.43/17,629.05 = 7,109.56/x
  3. Step 3: Cross multiply
    12,774.43x = 17,629.05 × 7,109.56
  4. Step 4: Simplify right side
    12,774.43x = 125,334,788.72
  5. Step 5: Solve for x
    x = 125,334,788.72/12,774.43
  6. Step 6: Final answer
    x = 9,811.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.