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Finding the Fourth Proportional to 6,515.80, 9,776.58 and 2,627.80

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Solution

The fourth proportional to 6,515.80, 9,776.58 and 2,627.80 is: 3,942.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.80 : 9,776.58 = 2,627.80 : x
  2. Step 2: Convert to fraction form
    6,515.80/9,776.58 = 2,627.80/x
  3. Step 3: Cross multiply
    6,515.80x = 9,776.58 × 2,627.80
  4. Step 4: Simplify right side
    6,515.80x = 25,690,896.92
  5. Step 5: Solve for x
    x = 25,690,896.92/6,515.80
  6. Step 6: Final answer
    x = 3,942.86

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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.