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Finding the Fourth Proportional to 11,680.89, 16,117.43 and 6,965.61

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Solution

The fourth proportional to 11,680.89, 16,117.43 and 6,965.61 is: 9,611.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.89 : 16,117.43 = 6,965.61 : x
  2. Step 2: Convert to fraction form
    11,680.89/16,117.43 = 6,965.61/x
  3. Step 3: Cross multiply
    11,680.89x = 16,117.43 × 6,965.61
  4. Step 4: Simplify right side
    11,680.89x = 112,267,696.75
  5. Step 5: Solve for x
    x = 112,267,696.75/11,680.89
  6. Step 6: Final answer
    x = 9,611.23

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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.