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Finding the Fourth Proportional to 12,050.40, 16,628.64 and 6,744

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Solution

The fourth proportional to 12,050.40, 16,628.64 and 6,744 is: 9,306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,050.40 : 16,628.64 = 6,744 : x
  2. Step 2: Convert to fraction form
    12,050.40/16,628.64 = 6,744/x
  3. Step 3: Cross multiply
    12,050.40x = 16,628.64 × 6,744
  4. Step 4: Simplify right side
    12,050.40x = 112,143,548.16
  5. Step 5: Solve for x
    x = 112,143,548.16/12,050.40
  6. Step 6: Final answer
    x = 9,306.21

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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.