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Finding the Fourth Proportional to 10,705.79, 16,034.92 and 8,222.33

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Solution

The fourth proportional to 10,705.79, 16,034.92 and 8,222.33 is: 12,315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.79 : 16,034.92 = 8,222.33 : x
  2. Step 2: Convert to fraction form
    10,705.79/16,034.92 = 8,222.33/x
  3. Step 3: Cross multiply
    10,705.79x = 16,034.92 × 8,222.33
  4. Step 4: Simplify right side
    10,705.79x = 131,844,403.76
  5. Step 5: Solve for x
    x = 131,844,403.76/10,705.79
  6. Step 6: Final answer
    x = 12,315.24

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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.