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Finding the Fourth Proportional to 10,777.67, 16,166.70 and 2,986.49

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Solution

The fourth proportional to 10,777.67, 16,166.70 and 2,986.49 is: 4,479.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.67 : 16,166.70 = 2,986.49 : x
  2. Step 2: Convert to fraction form
    10,777.67/16,166.70 = 2,986.49/x
  3. Step 3: Cross multiply
    10,777.67x = 16,166.70 × 2,986.49
  4. Step 4: Simplify right side
    10,777.67x = 48,281,687.88
  5. Step 5: Solve for x
    x = 48,281,687.88/10,777.67
  6. Step 6: Final answer
    x = 4,479.79

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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.