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Finding the Fourth Proportional to 12,760.38, 17,604.96 and 7,977.06

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Solution

The fourth proportional to 12,760.38, 17,604.96 and 7,977.06 is: 11,005.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760.38 : 17,604.96 = 7,977.06 : x
  2. Step 2: Convert to fraction form
    12,760.38/17,604.96 = 7,977.06/x
  3. Step 3: Cross multiply
    12,760.38x = 17,604.96 × 7,977.06
  4. Step 4: Simplify right side
    12,760.38x = 140,435,822.22
  5. Step 5: Solve for x
    x = 140,435,822.22/12,760.38
  6. Step 6: Final answer
    x = 11,005.61

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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.