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Finding the Fourth Proportional to 10,208.94, 15,286.67 and 6,687.87

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Solution

The fourth proportional to 10,208.94, 15,286.67 and 6,687.87 is: 10,014.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.94 : 15,286.67 = 6,687.87 : x
  2. Step 2: Convert to fraction form
    10,208.94/15,286.67 = 6,687.87/x
  3. Step 3: Cross multiply
    10,208.94x = 15,286.67 × 6,687.87
  4. Step 4: Simplify right side
    10,208.94x = 102,235,261.69
  5. Step 5: Solve for x
    x = 102,235,261.69/10,208.94
  6. Step 6: Final answer
    x = 10,014.29

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