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Finding the Fourth Proportional to 8,696.45, 11,997.38 and 5,865.65

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Solution

The fourth proportional to 8,696.45, 11,997.38 and 5,865.65 is: 8,092.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.45 : 11,997.38 = 5,865.65 : x
  2. Step 2: Convert to fraction form
    8,696.45/11,997.38 = 5,865.65/x
  3. Step 3: Cross multiply
    8,696.45x = 11,997.38 × 5,865.65
  4. Step 4: Simplify right side
    8,696.45x = 70,372,402.67
  5. Step 5: Solve for x
    x = 70,372,402.67/8,696.45
  6. Step 6: Final answer
    x = 8,092.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.