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Finding the Fourth Proportional to 10,909.06, 16,363.47 and 3,983.50

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Solution

The fourth proportional to 10,909.06, 16,363.47 and 3,983.50 is: 5,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.06 : 16,363.47 = 3,983.50 : x
  2. Step 2: Convert to fraction form
    10,909.06/16,363.47 = 3,983.50/x
  3. Step 3: Cross multiply
    10,909.06x = 16,363.47 × 3,983.50
  4. Step 4: Simplify right side
    10,909.06x = 65,183,882.75
  5. Step 5: Solve for x
    x = 65,183,882.75/10,909.06
  6. Step 6: Final answer
    x = 5,975.21

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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.