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Finding the Fourth Proportional to 10,777.66, 16,166.48 and 3,382.70

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Solution

The fourth proportional to 10,777.66, 16,166.48 and 3,382.70 is: 5,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.66 : 16,166.48 = 3,382.70 : x
  2. Step 2: Convert to fraction form
    10,777.66/16,166.48 = 3,382.70/x
  3. Step 3: Cross multiply
    10,777.66x = 16,166.48 × 3,382.70
  4. Step 4: Simplify right side
    10,777.66x = 54,686,351.90
  5. Step 5: Solve for x
    x = 54,686,351.90/10,777.66
  6. Step 6: Final answer
    x = 5,074.05

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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.