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Finding the Fourth Proportional to 12,471.75, 17,209.46 and 7,628.91

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Solution

The fourth proportional to 12,471.75, 17,209.46 and 7,628.91 is: 10,526.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.75 : 17,209.46 = 7,628.91 : x
  2. Step 2: Convert to fraction form
    12,471.75/17,209.46 = 7,628.91/x
  3. Step 3: Cross multiply
    12,471.75x = 17,209.46 × 7,628.91
  4. Step 4: Simplify right side
    12,471.75x = 131,289,383.34
  5. Step 5: Solve for x
    x = 131,289,383.34/12,471.75
  6. Step 6: Final answer
    x = 10,526.94

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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.