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Finding the Fourth Proportional to 12,882, 17,777.04 and 7,293

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Solution

The fourth proportional to 12,882, 17,777.04 and 7,293 is: 10,064.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882 : 17,777.04 = 7,293 : x
  2. Step 2: Convert to fraction form
    12,882/17,777.04 = 7,293/x
  3. Step 3: Cross multiply
    12,882x = 17,777.04 × 7,293
  4. Step 4: Simplify right side
    12,882x = 129,647,952.72
  5. Step 5: Solve for x
    x = 129,647,952.72/12,882
  6. Step 6: Final answer
    x = 10,064.27

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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.