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Finding the Fourth Proportional to 8,392.44, 11,585.76 and 6,499.80

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Solution

The fourth proportional to 8,392.44, 11,585.76 and 6,499.80 is: 8,972.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,392.44 : 11,585.76 = 6,499.80 : x
  2. Step 2: Convert to fraction form
    8,392.44/11,585.76 = 6,499.80/x
  3. Step 3: Cross multiply
    8,392.44x = 11,585.76 × 6,499.80
  4. Step 4: Simplify right side
    8,392.44x = 75,305,122.85
  5. Step 5: Solve for x
    x = 75,305,122.85/8,392.44
  6. Step 6: Final answer
    x = 8,972.97

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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.