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Finding the Fourth Proportional to 7,760.28, 11,641.14 and 2,830.44

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Solution

The fourth proportional to 7,760.28, 11,641.14 and 2,830.44 is: 4,245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.28 : 11,641.14 = 2,830.44 : x
  2. Step 2: Convert to fraction form
    7,760.28/11,641.14 = 2,830.44/x
  3. Step 3: Cross multiply
    7,760.28x = 11,641.14 × 2,830.44
  4. Step 4: Simplify right side
    7,760.28x = 32,949,548.30
  5. Step 5: Solve for x
    x = 32,949,548.30/7,760.28
  6. Step 6: Final answer
    x = 4,245.92

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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.