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Finding the Fourth Proportional to 7,760.13, 11,640.42 and 2,833.44

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Solution

The fourth proportional to 7,760.13, 11,640.42 and 2,833.44 is: 4,250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.13 : 11,640.42 = 2,833.44 : x
  2. Step 2: Convert to fraction form
    7,760.13/11,640.42 = 2,833.44/x
  3. Step 3: Cross multiply
    7,760.13x = 11,640.42 × 2,833.44
  4. Step 4: Simplify right side
    7,760.13x = 32,982,431.64
  5. Step 5: Solve for x
    x = 32,982,431.64/7,760.13
  6. Step 6: Final answer
    x = 4,250.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.