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Finding the Fourth Proportional to 12,793.36, 17,654.16 and 7,204

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Solution

The fourth proportional to 12,793.36, 17,654.16 and 7,204 is: 9,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793.36 : 17,654.16 = 7,204 : x
  2. Step 2: Convert to fraction form
    12,793.36/17,654.16 = 7,204/x
  3. Step 3: Cross multiply
    12,793.36x = 17,654.16 × 7,204
  4. Step 4: Simplify right side
    12,793.36x = 127,180,568.64
  5. Step 5: Solve for x
    x = 127,180,568.64/12,793.36
  6. Step 6: Final answer
    x = 9,941.14

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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.