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Finding the Fourth Proportional to 6,678.38, 10,012.17 and 2,785.70

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Solution

The fourth proportional to 6,678.38, 10,012.17 and 2,785.70 is: 4,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.38 : 10,012.17 = 2,785.70 : x
  2. Step 2: Convert to fraction form
    6,678.38/10,012.17 = 2,785.70/x
  3. Step 3: Cross multiply
    6,678.38x = 10,012.17 × 2,785.70
  4. Step 4: Simplify right side
    6,678.38x = 27,890,901.97
  5. Step 5: Solve for x
    x = 27,890,901.97/6,678.38
  6. Step 6: Final answer
    x = 4,176.30

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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.