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Finding the Fourth Proportional to 12,799.38, 17,662.88 and 7,134.12

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Solution

The fourth proportional to 12,799.38, 17,662.88 and 7,134.12 is: 9,844.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,799.38 : 17,662.88 = 7,134.12 : x
  2. Step 2: Convert to fraction form
    12,799.38/17,662.88 = 7,134.12/x
  3. Step 3: Cross multiply
    12,799.38x = 17,662.88 × 7,134.12
  4. Step 4: Simplify right side
    12,799.38x = 126,009,105.47
  5. Step 5: Solve for x
    x = 126,009,105.47/12,799.38
  6. Step 6: Final answer
    x = 9,844.94

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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.