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Finding the Fourth Proportional to 8,509.44, 11,743.20 and 4,972.80

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Solution

The fourth proportional to 8,509.44, 11,743.20 and 4,972.80 is: 6,862.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.44 : 11,743.20 = 4,972.80 : x
  2. Step 2: Convert to fraction form
    8,509.44/11,743.20 = 4,972.80/x
  3. Step 3: Cross multiply
    8,509.44x = 11,743.20 × 4,972.80
  4. Step 4: Simplify right side
    8,509.44x = 58,396,584.96
  5. Step 5: Solve for x
    x = 58,396,584.96/8,509.44
  6. Step 6: Final answer
    x = 6,862.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.