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Finding the Fourth Proportional to 6,808.40, 10,206.46 and 3,296.22

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Solution

The fourth proportional to 6,808.40, 10,206.46 and 3,296.22 is: 4,941.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.40 : 10,206.46 = 3,296.22 : x
  2. Step 2: Convert to fraction form
    6,808.40/10,206.46 = 3,296.22/x
  3. Step 3: Cross multiply
    6,808.40x = 10,206.46 × 3,296.22
  4. Step 4: Simplify right side
    6,808.40x = 33,642,713.59
  5. Step 5: Solve for x
    x = 33,642,713.59/6,808.40
  6. Step 6: Final answer
    x = 4,941.35

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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.