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Finding the Fourth Proportional to 8,696.20, 11,997.03 and 5,865.40

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Solution

The fourth proportional to 8,696.20, 11,997.03 and 5,865.40 is: 8,091.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.20 : 11,997.03 = 5,865.40 : x
  2. Step 2: Convert to fraction form
    8,696.20/11,997.03 = 5,865.40/x
  3. Step 3: Cross multiply
    8,696.20x = 11,997.03 × 5,865.40
  4. Step 4: Simplify right side
    8,696.20x = 70,367,379.76
  5. Step 5: Solve for x
    x = 70,367,379.76/8,696.20
  6. Step 6: Final answer
    x = 8,091.74

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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.