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Finding the Fourth Proportional to 10,902.06, 16,353.06 and 3,109.86

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Solution

The fourth proportional to 10,902.06, 16,353.06 and 3,109.86 is: 4,664.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.06 : 16,353.06 = 3,109.86 : x
  2. Step 2: Convert to fraction form
    10,902.06/16,353.06 = 3,109.86/x
  3. Step 3: Cross multiply
    10,902.06x = 16,353.06 × 3,109.86
  4. Step 4: Simplify right side
    10,902.06x = 50,855,727.17
  5. Step 5: Solve for x
    x = 50,855,727.17/10,902.06
  6. Step 6: Final answer
    x = 4,664.78

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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.