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Finding the Fourth Proportional to 10,909.56, 16,364.22 and 3,984

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Solution

The fourth proportional to 10,909.56, 16,364.22 and 3,984 is: 5,975.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.56 : 16,364.22 = 3,984 : x
  2. Step 2: Convert to fraction form
    10,909.56/16,364.22 = 3,984/x
  3. Step 3: Cross multiply
    10,909.56x = 16,364.22 × 3,984
  4. Step 4: Simplify right side
    10,909.56x = 65,195,052.48
  5. Step 5: Solve for x
    x = 65,195,052.48/10,909.56
  6. Step 6: Final answer
    x = 5,975.96

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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.