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Finding the Fourth Proportional to 12,758.15, 17,606.67 and 7,723.28

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Solution

The fourth proportional to 12,758.15, 17,606.67 and 7,723.28 is: 10,658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.15 : 17,606.67 = 7,723.28 : x
  2. Step 2: Convert to fraction form
    12,758.15/17,606.67 = 7,723.28/x
  3. Step 3: Cross multiply
    12,758.15x = 17,606.67 × 7,723.28
  4. Step 4: Simplify right side
    12,758.15x = 135,981,242.28
  5. Step 5: Solve for x
    x = 135,981,242.28/12,758.15
  6. Step 6: Final answer
    x = 10,658.38

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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.