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Finding the Fourth Proportional to 12,837.28, 17,708.05 and 7,729.24

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Solution

The fourth proportional to 12,837.28, 17,708.05 and 7,729.24 is: 10,661.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,837.28 : 17,708.05 = 7,729.24 : x
  2. Step 2: Convert to fraction form
    12,837.28/17,708.05 = 7,729.24/x
  3. Step 3: Cross multiply
    12,837.28x = 17,708.05 × 7,729.24
  4. Step 4: Simplify right side
    12,837.28x = 136,869,768.38
  5. Step 5: Solve for x
    x = 136,869,768.38/12,837.28
  6. Step 6: Final answer
    x = 10,661.90

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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.