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Finding the Fourth Proportional to 7,081.34, 10,632.96 and 3,800.84

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Solution

The fourth proportional to 7,081.34, 10,632.96 and 3,800.84 is: 5,707.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,081.34 : 10,632.96 = 3,800.84 : x
  2. Step 2: Convert to fraction form
    7,081.34/10,632.96 = 3,800.84/x
  3. Step 3: Cross multiply
    7,081.34x = 10,632.96 × 3,800.84
  4. Step 4: Simplify right side
    7,081.34x = 40,414,179.69
  5. Step 5: Solve for x
    x = 40,414,179.69/7,081.34
  6. Step 6: Final answer
    x = 5,707.14

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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.