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Finding the Fourth Proportional to 10,468.43, 14,446.13 and 5,992.02

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Solution

The fourth proportional to 10,468.43, 14,446.13 and 5,992.02 is: 8,268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.43 : 14,446.13 = 5,992.02 : x
  2. Step 2: Convert to fraction form
    10,468.43/14,446.13 = 5,992.02/x
  3. Step 3: Cross multiply
    10,468.43x = 14,446.13 × 5,992.02
  4. Step 4: Simplify right side
    10,468.43x = 86,561,469.92
  5. Step 5: Solve for x
    x = 86,561,469.92/10,468.43
  6. Step 6: Final answer
    x = 8,268.82

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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.