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Finding the Fourth Proportional to 11,845.96, 16,340.57 and 7,654.21

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Solution

The fourth proportional to 11,845.96, 16,340.57 and 7,654.21 is: 10,558.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,845.96 : 16,340.57 = 7,654.21 : x
  2. Step 2: Convert to fraction form
    11,845.96/16,340.57 = 7,654.21/x
  3. Step 3: Cross multiply
    11,845.96x = 16,340.57 × 7,654.21
  4. Step 4: Simplify right side
    11,845.96x = 125,074,103.88
  5. Step 5: Solve for x
    x = 125,074,103.88/11,845.96
  6. Step 6: Final answer
    x = 10,558.38

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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.