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Finding the Fourth Proportional to 6,856.49, 10,276.95 and 3,151.06

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Solution

The fourth proportional to 6,856.49, 10,276.95 and 3,151.06 is: 4,723.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.49 : 10,276.95 = 3,151.06 : x
  2. Step 2: Convert to fraction form
    6,856.49/10,276.95 = 3,151.06/x
  3. Step 3: Cross multiply
    6,856.49x = 10,276.95 × 3,151.06
  4. Step 4: Simplify right side
    6,856.49x = 32,383,260.37
  5. Step 5: Solve for x
    x = 32,383,260.37/6,856.49
  6. Step 6: Final answer
    x = 4,723.01

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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.