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Finding the Fourth Proportional to 7,760.40, 11,640.80 and 2,833.71

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Solution

The fourth proportional to 7,760.40, 11,640.80 and 2,833.71 is: 4,250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.40 : 11,640.80 = 2,833.71 : x
  2. Step 2: Convert to fraction form
    7,760.40/11,640.80 = 2,833.71/x
  3. Step 3: Cross multiply
    7,760.40x = 11,640.80 × 2,833.71
  4. Step 4: Simplify right side
    7,760.40x = 32,986,651.37
  5. Step 5: Solve for x
    x = 32,986,651.37/7,760.40
  6. Step 6: Final answer
    x = 4,250.64

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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.