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Finding the Fourth Proportional to 7,206.68, 10,814.07 and 3,311.39

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Solution

The fourth proportional to 7,206.68, 10,814.07 and 3,311.39 is: 4,968.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.68 : 10,814.07 = 3,311.39 : x
  2. Step 2: Convert to fraction form
    7,206.68/10,814.07 = 3,311.39/x
  3. Step 3: Cross multiply
    7,206.68x = 10,814.07 × 3,311.39
  4. Step 4: Simplify right side
    7,206.68x = 35,809,603.26
  5. Step 5: Solve for x
    x = 35,809,603.26/7,206.68
  6. Step 6: Final answer
    x = 4,968.95

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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.