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Finding the Fourth Proportional to 12,757.32, 17,588.16 and 8,771.40

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Solution

The fourth proportional to 12,757.32, 17,588.16 and 8,771.40 is: 12,092.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.32 : 17,588.16 = 8,771.40 : x
  2. Step 2: Convert to fraction form
    12,757.32/17,588.16 = 8,771.40/x
  3. Step 3: Cross multiply
    12,757.32x = 17,588.16 × 8,771.40
  4. Step 4: Simplify right side
    12,757.32x = 154,272,786.62
  5. Step 5: Solve for x
    x = 154,272,786.62/12,757.32
  6. Step 6: Final answer
    x = 12,092.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.