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Finding the Fourth Proportional to 10,725.89, 14,796.73 and 6,749.20

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Solution

The fourth proportional to 10,725.89, 14,796.73 and 6,749.20 is: 9,310.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.89 : 14,796.73 = 6,749.20 : x
  2. Step 2: Convert to fraction form
    10,725.89/14,796.73 = 6,749.20/x
  3. Step 3: Cross multiply
    10,725.89x = 14,796.73 × 6,749.20
  4. Step 4: Simplify right side
    10,725.89x = 99,865,982.39
  5. Step 5: Solve for x
    x = 99,865,982.39/10,725.89
  6. Step 6: Final answer
    x = 9,310.74

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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.