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Finding the Fourth Proportional to 8,596.50, 11,867.49 and 8,078.10

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Solution

The fourth proportional to 8,596.50, 11,867.49 and 8,078.10 is: 11,151.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.50 : 11,867.49 = 8,078.10 : x
  2. Step 2: Convert to fraction form
    8,596.50/11,867.49 = 8,078.10/x
  3. Step 3: Cross multiply
    8,596.50x = 11,867.49 × 8,078.10
  4. Step 4: Simplify right side
    8,596.50x = 95,866,770.97
  5. Step 5: Solve for x
    x = 95,866,770.97/8,596.50
  6. Step 6: Final answer
    x = 11,151.84

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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.