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Finding the Fourth Proportional to 11,823.72, 16,316.08 and 6,517.62

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Solution

The fourth proportional to 11,823.72, 16,316.08 and 6,517.62 is: 8,993.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.72 : 16,316.08 = 6,517.62 : x
  2. Step 2: Convert to fraction form
    11,823.72/16,316.08 = 6,517.62/x
  3. Step 3: Cross multiply
    11,823.72x = 16,316.08 × 6,517.62
  4. Step 4: Simplify right side
    11,823.72x = 106,342,009.33
  5. Step 5: Solve for x
    x = 106,342,009.33/11,823.72
  6. Step 6: Final answer
    x = 8,993.96

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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.