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Finding the Fourth Proportional to 11,777.28, 17,665.68 and 4,847.04

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Solution

The fourth proportional to 11,777.28, 17,665.68 and 4,847.04 is: 7,270.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.28 : 17,665.68 = 4,847.04 : x
  2. Step 2: Convert to fraction form
    11,777.28/17,665.68 = 4,847.04/x
  3. Step 3: Cross multiply
    11,777.28x = 17,665.68 × 4,847.04
  4. Step 4: Simplify right side
    11,777.28x = 85,626,257.59
  5. Step 5: Solve for x
    x = 85,626,257.59/11,777.28
  6. Step 6: Final answer
    x = 7,270.46

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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.