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Finding the Fourth Proportional to 6,856.92, 10,282.14 and 4,910.04

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Solution

The fourth proportional to 6,856.92, 10,282.14 and 4,910.04 is: 7,362.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.92 : 10,282.14 = 4,910.04 : x
  2. Step 2: Convert to fraction form
    6,856.92/10,282.14 = 4,910.04/x
  3. Step 3: Cross multiply
    6,856.92x = 10,282.14 × 4,910.04
  4. Step 4: Simplify right side
    6,856.92x = 50,485,718.69
  5. Step 5: Solve for x
    x = 50,485,718.69/6,856.92
  6. Step 6: Final answer
    x = 7,362.74

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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.