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Finding the Fourth Proportional to 10,900.92, 16,351.59 and 3,109.92

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Solution

The fourth proportional to 10,900.92, 16,351.59 and 3,109.92 is: 4,664.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.92 : 16,351.59 = 3,109.92 : x
  2. Step 2: Convert to fraction form
    10,900.92/16,351.59 = 3,109.92/x
  3. Step 3: Cross multiply
    10,900.92x = 16,351.59 × 3,109.92
  4. Step 4: Simplify right side
    10,900.92x = 50,852,136.77
  5. Step 5: Solve for x
    x = 50,852,136.77/10,900.92
  6. Step 6: Final answer
    x = 4,664.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.