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Finding the Fourth Proportional to 6,856.46, 10,273.91 and 5,300.28

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Solution

The fourth proportional to 6,856.46, 10,273.91 and 5,300.28 is: 7,942.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.46 : 10,273.91 = 5,300.28 : x
  2. Step 2: Convert to fraction form
    6,856.46/10,273.91 = 5,300.28/x
  3. Step 3: Cross multiply
    6,856.46x = 10,273.91 × 5,300.28
  4. Step 4: Simplify right side
    6,856.46x = 54,454,599.69
  5. Step 5: Solve for x
    x = 54,454,599.69/6,856.46
  6. Step 6: Final answer
    x = 7,942.09

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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.