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Finding the Fourth Proportional to 7,293.92, 10,066.50 and 4,149.50

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Solution

The fourth proportional to 7,293.92, 10,066.50 and 4,149.50 is: 5,726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,293.92 : 10,066.50 = 4,149.50 : x
  2. Step 2: Convert to fraction form
    7,293.92/10,066.50 = 4,149.50/x
  3. Step 3: Cross multiply
    7,293.92x = 10,066.50 × 4,149.50
  4. Step 4: Simplify right side
    7,293.92x = 41,770,891.42
  5. Step 5: Solve for x
    x = 41,770,891.42/7,293.92
  6. Step 6: Final answer
    x = 5,726.81

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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.