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Finding the Fourth Proportional to 11,806.97, 16,293.04 and 6,500.80

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Solution

The fourth proportional to 11,806.97, 16,293.04 and 6,500.80 is: 8,970.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.97 : 16,293.04 = 6,500.80 : x
  2. Step 2: Convert to fraction form
    11,806.97/16,293.04 = 6,500.80/x
  3. Step 3: Cross multiply
    11,806.97x = 16,293.04 × 6,500.80
  4. Step 4: Simplify right side
    11,806.97x = 105,917,737.45
  5. Step 5: Solve for x
    x = 105,917,737.45/11,806.97
  6. Step 6: Final answer
    x = 8,970.78

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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.