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Finding the Fourth Proportional to 12,107.94, 18,163.08 and 4,713

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Solution

The fourth proportional to 12,107.94, 18,163.08 and 4,713 is: 7,069.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.94 : 18,163.08 = 4,713 : x
  2. Step 2: Convert to fraction form
    12,107.94/18,163.08 = 4,713/x
  3. Step 3: Cross multiply
    12,107.94x = 18,163.08 × 4,713
  4. Step 4: Simplify right side
    12,107.94x = 85,602,596.04
  5. Step 5: Solve for x
    x = 85,602,596.04/12,107.94
  6. Step 6: Final answer
    x = 7,069.96

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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.