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Finding the Fourth Proportional to 8,596.39, 11,850.34 and 6,705.85

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Solution

The fourth proportional to 8,596.39, 11,850.34 and 6,705.85 is: 9,244.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.39 : 11,850.34 = 6,705.85 : x
  2. Step 2: Convert to fraction form
    8,596.39/11,850.34 = 6,705.85/x
  3. Step 3: Cross multiply
    8,596.39x = 11,850.34 × 6,705.85
  4. Step 4: Simplify right side
    8,596.39x = 79,466,602.49
  5. Step 5: Solve for x
    x = 79,466,602.49/8,596.39
  6. Step 6: Final answer
    x = 9,244.18

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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.