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Finding the Fourth Proportional to 7,658.28, 11,485.02 and 2,463

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Solution

The fourth proportional to 7,658.28, 11,485.02 and 2,463 is: 3,693.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.28 : 11,485.02 = 2,463 : x
  2. Step 2: Convert to fraction form
    7,658.28/11,485.02 = 2,463/x
  3. Step 3: Cross multiply
    7,658.28x = 11,485.02 × 2,463
  4. Step 4: Simplify right side
    7,658.28x = 28,287,604.26
  5. Step 5: Solve for x
    x = 28,287,604.26/7,658.28
  6. Step 6: Final answer
    x = 3,693.73

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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.