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Finding the Fourth Proportional to 10,777.50, 16,166.25 and 2,986.31

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Solution

The fourth proportional to 10,777.50, 16,166.25 and 2,986.31 is: 4,479.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.50 : 16,166.25 = 2,986.31 : x
  2. Step 2: Convert to fraction form
    10,777.50/16,166.25 = 2,986.31/x
  3. Step 3: Cross multiply
    10,777.50x = 16,166.25 × 2,986.31
  4. Step 4: Simplify right side
    10,777.50x = 48,277,474.45
  5. Step 5: Solve for x
    x = 48,277,474.45/10,777.50
  6. Step 6: Final answer
    x = 4,479.47

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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.