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Finding the Fourth Proportional to 11,754.73, 16,220.68 and 6,448.69

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Solution

The fourth proportional to 11,754.73, 16,220.68 and 6,448.69 is: 8,898.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.73 : 16,220.68 = 6,448.69 : x
  2. Step 2: Convert to fraction form
    11,754.73/16,220.68 = 6,448.69/x
  3. Step 3: Cross multiply
    11,754.73x = 16,220.68 × 6,448.69
  4. Step 4: Simplify right side
    11,754.73x = 104,602,136.91
  5. Step 5: Solve for x
    x = 104,602,136.91/11,754.73
  6. Step 6: Final answer
    x = 8,898.73

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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.