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Finding the Fourth Proportional to 6,874.29, 10,288.05 and 4,243.45

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Solution

The fourth proportional to 6,874.29, 10,288.05 and 4,243.45 is: 6,350.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.29 : 10,288.05 = 4,243.45 : x
  2. Step 2: Convert to fraction form
    6,874.29/10,288.05 = 4,243.45/x
  3. Step 3: Cross multiply
    6,874.29x = 10,288.05 × 4,243.45
  4. Step 4: Simplify right side
    6,874.29x = 43,656,836.38
  5. Step 5: Solve for x
    x = 43,656,836.38/6,874.29
  6. Step 6: Final answer
    x = 6,350.75

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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.