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Finding the Fourth Proportional to 6,856.82, 10,271.53 and 3,153.98

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Solution

The fourth proportional to 6,856.82, 10,271.53 and 3,153.98 is: 4,724.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.82 : 10,271.53 = 3,153.98 : x
  2. Step 2: Convert to fraction form
    6,856.82/10,271.53 = 3,153.98/x
  3. Step 3: Cross multiply
    6,856.82x = 10,271.53 × 3,153.98
  4. Step 4: Simplify right side
    6,856.82x = 32,396,133.06
  5. Step 5: Solve for x
    x = 32,396,133.06/6,856.82
  6. Step 6: Final answer
    x = 4,724.66

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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.