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Finding the Fourth Proportional to 10,906.80, 16,360.92 and 6,552.24

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Solution

The fourth proportional to 10,906.80, 16,360.92 and 6,552.24 is: 9,828.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.80 : 16,360.92 = 6,552.24 : x
  2. Step 2: Convert to fraction form
    10,906.80/16,360.92 = 6,552.24/x
  3. Step 3: Cross multiply
    10,906.80x = 16,360.92 × 6,552.24
  4. Step 4: Simplify right side
    10,906.80x = 107,200,674.46
  5. Step 5: Solve for x
    x = 107,200,674.46/10,906.80
  6. Step 6: Final answer
    x = 9,828.79

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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.