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Finding the Fourth Proportional to 10,849.52, 16,274.17 and 8,233.10

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Solution

The fourth proportional to 10,849.52, 16,274.17 and 8,233.10 is: 12,349.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,849.52 : 16,274.17 = 8,233.10 : x
  2. Step 2: Convert to fraction form
    10,849.52/16,274.17 = 8,233.10/x
  3. Step 3: Cross multiply
    10,849.52x = 16,274.17 × 8,233.10
  4. Step 4: Simplify right side
    10,849.52x = 133,986,766.83
  5. Step 5: Solve for x
    x = 133,986,766.83/10,849.52
  6. Step 6: Final answer
    x = 12,349.55

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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.