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Finding the Fourth Proportional to 11,778.24, 17,660.52 and 8,084.64

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Solution

The fourth proportional to 11,778.24, 17,660.52 and 8,084.64 is: 12,122.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.24 : 17,660.52 = 8,084.64 : x
  2. Step 2: Convert to fraction form
    11,778.24/17,660.52 = 8,084.64/x
  3. Step 3: Cross multiply
    11,778.24x = 17,660.52 × 8,084.64
  4. Step 4: Simplify right side
    11,778.24x = 142,778,946.41
  5. Step 5: Solve for x
    x = 142,778,946.41/11,778.24
  6. Step 6: Final answer
    x = 12,122.26

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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.