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Finding the Fourth Proportional to 12,105.33, 16,710.07 and 7,628.21

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Solution

The fourth proportional to 12,105.33, 16,710.07 and 7,628.21 is: 10,529.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.33 : 16,710.07 = 7,628.21 : x
  2. Step 2: Convert to fraction form
    12,105.33/16,710.07 = 7,628.21/x
  3. Step 3: Cross multiply
    12,105.33x = 16,710.07 × 7,628.21
  4. Step 4: Simplify right side
    12,105.33x = 127,467,820.45
  5. Step 5: Solve for x
    x = 127,467,820.45/12,105.33
  6. Step 6: Final answer
    x = 10,529.89

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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.