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Finding the Fourth Proportional to 7,734.08, 11,612.97 and 6,817.37

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Solution

The fourth proportional to 7,734.08, 11,612.97 and 6,817.37 is: 10,236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.08 : 11,612.97 = 6,817.37 : x
  2. Step 2: Convert to fraction form
    7,734.08/11,612.97 = 6,817.37/x
  3. Step 3: Cross multiply
    7,734.08x = 11,612.97 × 6,817.37
  4. Step 4: Simplify right side
    7,734.08x = 79,169,855.22
  5. Step 5: Solve for x
    x = 79,169,855.22/7,734.08
  6. Step 6: Final answer
    x = 10,236.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.