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Finding the Fourth Proportional to 10,206.68, 14,086.44 and 6,227.69

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Solution

The fourth proportional to 10,206.68, 14,086.44 and 6,227.69 is: 8,594.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.68 : 14,086.44 = 6,227.69 : x
  2. Step 2: Convert to fraction form
    10,206.68/14,086.44 = 6,227.69/x
  3. Step 3: Cross multiply
    10,206.68x = 14,086.44 × 6,227.69
  4. Step 4: Simplify right side
    10,206.68x = 87,725,911.09
  5. Step 5: Solve for x
    x = 87,725,911.09/10,206.68
  6. Step 6: Final answer
    x = 8,594.95

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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.