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Finding the Fourth Proportional to 10,469.79, 14,448.33 and 5,754.09

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Solution

The fourth proportional to 10,469.79, 14,448.33 and 5,754.09 is: 7,940.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.79 : 14,448.33 = 5,754.09 : x
  2. Step 2: Convert to fraction form
    10,469.79/14,448.33 = 5,754.09/x
  3. Step 3: Cross multiply
    10,469.79x = 14,448.33 × 5,754.09
  4. Step 4: Simplify right side
    10,469.79x = 83,136,991.17
  5. Step 5: Solve for x
    x = 83,136,991.17/10,469.79
  6. Step 6: Final answer
    x = 7,940.66

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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.