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Finding the Fourth Proportional to 10,725.35, 14,801.58 and 5,945.20

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Solution

The fourth proportional to 10,725.35, 14,801.58 and 5,945.20 is: 8,204.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.35 : 14,801.58 = 5,945.20 : x
  2. Step 2: Convert to fraction form
    10,725.35/14,801.58 = 5,945.20/x
  3. Step 3: Cross multiply
    10,725.35x = 14,801.58 × 5,945.20
  4. Step 4: Simplify right side
    10,725.35x = 87,998,316.41
  5. Step 5: Solve for x
    x = 87,998,316.41/10,725.35
  6. Step 6: Final answer
    x = 8,204.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.