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Finding the Fourth Proportional to 6,724.80, 10,084.50 and 3,952.17

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Solution

The fourth proportional to 6,724.80, 10,084.50 and 3,952.17 is: 5,926.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724.80 : 10,084.50 = 3,952.17 : x
  2. Step 2: Convert to fraction form
    6,724.80/10,084.50 = 3,952.17/x
  3. Step 3: Cross multiply
    6,724.80x = 10,084.50 × 3,952.17
  4. Step 4: Simplify right side
    6,724.80x = 39,855,658.37
  5. Step 5: Solve for x
    x = 39,855,658.37/6,724.80
  6. Step 6: Final answer
    x = 5,926.67

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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.