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Finding the Fourth Proportional to 7,211.95, 10,812.81 and 3,207.14

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Solution

The fourth proportional to 7,211.95, 10,812.81 and 3,207.14 is: 4,808.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.95 : 10,812.81 = 3,207.14 : x
  2. Step 2: Convert to fraction form
    7,211.95/10,812.81 = 3,207.14/x
  3. Step 3: Cross multiply
    7,211.95x = 10,812.81 × 3,207.14
  4. Step 4: Simplify right side
    7,211.95x = 34,678,195.46
  5. Step 5: Solve for x
    x = 34,678,195.46/7,211.95
  6. Step 6: Final answer
    x = 4,808.44

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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.