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Finding the Fourth Proportional to 11,992.43, 16,549.74 and 6,614.84

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Solution

The fourth proportional to 11,992.43, 16,549.74 and 6,614.84 is: 9,128.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,992.43 : 16,549.74 = 6,614.84 : x
  2. Step 2: Convert to fraction form
    11,992.43/16,549.74 = 6,614.84/x
  3. Step 3: Cross multiply
    11,992.43x = 16,549.74 × 6,614.84
  4. Step 4: Simplify right side
    11,992.43x = 109,473,923.52
  5. Step 5: Solve for x
    x = 109,473,923.52/11,992.43
  6. Step 6: Final answer
    x = 9,128.58

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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.