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Finding the Fourth Proportional to 12,666.38, 17,479.60 and 7,077.38

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Solution

The fourth proportional to 12,666.38, 17,479.60 and 7,077.38 is: 9,766.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,666.38 : 17,479.60 = 7,077.38 : x
  2. Step 2: Convert to fraction form
    12,666.38/17,479.60 = 7,077.38/x
  3. Step 3: Cross multiply
    12,666.38x = 17,479.60 × 7,077.38
  4. Step 4: Simplify right side
    12,666.38x = 123,709,666.36
  5. Step 5: Solve for x
    x = 123,709,666.36/12,666.38
  6. Step 6: Final answer
    x = 9,766.78

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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.