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Finding the Fourth Proportional to 10,849.51, 16,274.15 and 8,233.09

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Solution

The fourth proportional to 10,849.51, 16,274.15 and 8,233.09 is: 12,349.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,849.51 : 16,274.15 = 8,233.09 : x
  2. Step 2: Convert to fraction form
    10,849.51/16,274.15 = 8,233.09/x
  3. Step 3: Cross multiply
    10,849.51x = 16,274.15 × 8,233.09
  4. Step 4: Simplify right side
    10,849.51x = 133,986,502.49
  5. Step 5: Solve for x
    x = 133,986,502.49/10,849.51
  6. Step 6: Final answer
    x = 12,349.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.