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Finding the Fourth Proportional to 7,146.69, 10,723.69 and 3,402.70

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Solution

The fourth proportional to 7,146.69, 10,723.69 and 3,402.70 is: 5,105.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.69 : 10,723.69 = 3,402.70 : x
  2. Step 2: Convert to fraction form
    7,146.69/10,723.69 = 3,402.70/x
  3. Step 3: Cross multiply
    7,146.69x = 10,723.69 × 3,402.70
  4. Step 4: Simplify right side
    7,146.69x = 36,489,504.86
  5. Step 5: Solve for x
    x = 36,489,504.86/7,146.69
  6. Step 6: Final answer
    x = 5,105.79

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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.