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Finding the Fourth Proportional to 6,735.92, 10,086.60 and 4,130.96

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Solution

The fourth proportional to 6,735.92, 10,086.60 and 4,130.96 is: 6,185.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.92 : 10,086.60 = 4,130.96 : x
  2. Step 2: Convert to fraction form
    6,735.92/10,086.60 = 4,130.96/x
  3. Step 3: Cross multiply
    6,735.92x = 10,086.60 × 4,130.96
  4. Step 4: Simplify right side
    6,735.92x = 41,667,341.14
  5. Step 5: Solve for x
    x = 41,667,341.14/6,735.92
  6. Step 6: Final answer
    x = 6,185.84

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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.