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Finding the Fourth Proportional to 12,628.85, 17,429.38 and 7,252.96

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Solution

The fourth proportional to 12,628.85, 17,429.38 and 7,252.96 is: 10,009.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,628.85 : 17,429.38 = 7,252.96 : x
  2. Step 2: Convert to fraction form
    12,628.85/17,429.38 = 7,252.96/x
  3. Step 3: Cross multiply
    12,628.85x = 17,429.38 × 7,252.96
  4. Step 4: Simplify right side
    12,628.85x = 126,414,566.94
  5. Step 5: Solve for x
    x = 126,414,566.94/12,628.85
  6. Step 6: Final answer
    x = 10,009.99

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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.