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Finding the Fourth Proportional to 10,725.96, 16,077.96 and 4,149.60

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Solution

The fourth proportional to 10,725.96, 16,077.96 and 4,149.60 is: 6,220.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.96 : 16,077.96 = 4,149.60 : x
  2. Step 2: Convert to fraction form
    10,725.96/16,077.96 = 4,149.60/x
  3. Step 3: Cross multiply
    10,725.96x = 16,077.96 × 4,149.60
  4. Step 4: Simplify right side
    10,725.96x = 66,717,102.82
  5. Step 5: Solve for x
    x = 66,717,102.82/10,725.96
  6. Step 6: Final answer
    x = 6,220.15

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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.